Determine if the numbers `33, 121, 9, 96 ` are in proportion.

Answer

To determine if the numbers 33, 121, 9, and 96 are in proportion, we need to check if the ratio of the first pair (33 and 121) is equal to the ratio of the second pair (9 and 96).

### Step-by-Step Solution:

1. **Write the Ratios**:
We need to compare the ratios of the two pairs:
\[ \frac{33}{121} \quad \text{and} \quad \frac{9}{96} \]

2. **Cross Multiply**:
To check if these ratios are equal, we can cross multiply:
\[ 33 \times 96 \quad \text{and} \quad 9 \times 121 \]

3. **Calculate the Products**:
- Calculate \(33 \times 96\):
\[ 33 \times 96 = 3168 \]
- Calculate \(9 \times 121\):
\[ 9 \times 121 = 1089 \]

4. **Compare the Products**:
Now we compare the two products:
\[ 3168 \quad \text{and} \quad 1089 \]
Since \(3168 \neq 1089\), the ratios are not equal.

5. **Conclusion**:
Therefore, the numbers 33, 121, 9, and 96 are **not in proportion**.