Greg used 92.4 grams of sugar to bake 6 cookies. He used the same amount of sugar in each cookie. For the next batch, Greg plans to bake 9 cookies, with the same amount of sugar in each cookie as last time..

The amount of sugar used in each cookie: ___ grams

How much sugar would be used in 9 cookies? _____ grams

The amount of sugar used in each cookie: 92.4 grams / 6 cookies = <<92.4/6=15.4>>15.4 grams/cookie

How much sugar would be used in 9 cookies? 15.4 grams/cookie * 9 cookies = <<15.4*9=138.6>>138.6 grams. Answer: \boxed{138.6}.