The 19-year-old Russian beat her compatriot 6-4 6-4 to take her second career title following victory in Beijing two weeks ago.
Petrova was playing with groin and chest injuries and could not cope with her in-form opponent.
Chakvetadze broke twice in each set as she won in one hour 30 minutes.
"I was a bit lucky today as Nadia was not 100% fit," said Chakvetadze. "Nevertheless, I'm happy to win at home."

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