The 5th power of a positive number is equal to the product of 1/3 and the 6th power of the number. What is the ratio of this number's 12th power to its 9th power? Express your answer as a common fraction.

Let the number ==N

N^5 ==1 / 3 * N^6

N ==3

3^12 / 3^9 ==27 : 1