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Finding the Fourth Proportional to 9,604.72, 14,397.18 and 3,680

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Solution

The fourth proportional to 9,604.72, 14,397.18 and 3,680 is: 5,516.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.72 : 14,397.18 = 3,680 : x
  2. Step 2: Convert to fraction form
    9,604.72/14,397.18 = 3,680/x
  3. Step 3: Cross multiply
    9,604.72x = 14,397.18 × 3,680
  4. Step 4: Simplify right side
    9,604.72x = 52,981,622.40
  5. Step 5: Solve for x
    x = 52,981,622.40/9,604.72
  6. Step 6: Final answer
    x = 5,516.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.