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First, second and third terms of a propo...

First, second and third terms of a proportion are 9,27 and 3 respectively. Find the fourth term.

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To find the fourth term in the proportion where the first three terms are 9, 27, and 3, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Terms**: The first term (a) = 9, the second term (b) = 27, and the third term (c) = 3. We need to find the fourth term (d). 2. **Set Up the Proportion**: According to the properties of proportions, we can set up the equation as: \[ \frac{a}{b} = \frac{c}{d} \] Substituting the known values: \[ \frac{9}{27} = \frac{3}{d} \] 3. **Cross-Multiply**: To eliminate the fractions, we cross-multiply: \[ 9 \cdot d = 27 \cdot 3 \] 4. **Calculate the Right Side**: Now calculate the right side: \[ 27 \cdot 3 = 81 \] So, we have: \[ 9d = 81 \] 5. **Solve for d**: To find d, divide both sides by 9: \[ d = \frac{81}{9} = 9 \] 6. **Conclusion**: The fourth term (d) is 9. ### Final Answer: The fourth term is **9**.
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