Given that the third term of a geometric sequence is $1053$ and the ninth term is $\frac{13}{9}$, find the value of the seventh term.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Given that the third term of a geometric sequence is $1053$ and the ninth term is $\frac{13}{9}$, find the value of the seventh term.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
13
Given that the third term of a geometric sequence is $1053$ and the ninth term is $\frac{13}{9}$, find the value of the seventh term.
train