Justice Geoffrey Venning told the court the girl tried to make him stop but could not get out of the car or fend him off.
Chetty then drove the girl back to the mall, where she called police.
At the time Chetty had been on bail for similar offending.
In 2014 he had offered a lift home to two women he met while drinking in Auckland's city centre, before leaving one at a petrol station on the North Shore and sexually violating the other in his car at a nearby supermarket carpark while she was unconscious.
He was jailed for that crime and Justice Venning today added three years and two months to his jail term.
He will be in prison until July 2026.
The now 43-year-old father of two's "predatory conduct" was serious but uncharacteristic, opportunistic and could likely be improved with rehabilitation in prison, Justice Venning told the court.
Chetty had shown willingness to engage with rehabilitation treatment.
Three members of Chetty's family sat quietly at the back of the court this morning. Justice Venning noted that despite acknowledging his crimes they still loved him and were prepared to support him and his rehabilitation.
On the other side of the room, members of the victim's family also waited quietly for the sentence.
Justice Venning told the court the offending against the young girl had had a considerable effect on her, as noted in a victim impact statement she had read to the court earlier.
In a statement to the Herald, the girl's father and grandmother said they accepted the decision of the court, but personally felt "no sentence would ever be long enough".
"Our focus now as a family is to support our daughter and granddaughter as she has her whole life ahead of her."