Indiana's population has increased by 9.5% since 2000, when it was about 6 million people, what is indiana's population now?

For this case we can make the following rule of three:
 6 million -----> 100%
 x ---------------> 109.5%
 Clearing x we have:
 x = (109.5 / 100) * (6)
 x = 6.57 million people
 Answer:
 indiana's population now is:
 x = 6.57 million people