To find the product of \(9 \left(-\frac{3}{7}\right) \left(-\frac{1}{3}\right)\), we'll follow the steps below:
- Multiply the constants and the fractions.
- Simplify the result.
First, let's multiply the fractions:
\[ -\frac{3}{7} \cdot -\frac{1}{3} = \frac{3 \cdot 1}{7 \cdot 3} = \frac{3}{21} = \frac{1}{7} \]
Next, multiply this result by \(9\):
\[ 9 \cdot \frac{1}{7} = \frac{9}{7} \]
So, the final result of the product \(9 \left(-\frac{3}{7}\right) \left(-\frac{1}{3}\right)\) is:
\[ \frac{9}{7} \]
This value corresponds to "97" from the options provided (since the fractions represent positive values).
Therefore, the answer is:
97