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Finding the Fourth Proportional to 9,711.50, 14,569.81 and 3,472.13

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Solution

The fourth proportional to 9,711.50, 14,569.81 and 3,472.13 is: 5,209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.50 : 14,569.81 = 3,472.13 : x
  2. Step 2: Convert to fraction form
    9,711.50/14,569.81 = 3,472.13/x
  3. Step 3: Cross multiply
    9,711.50x = 14,569.81 × 3,472.13
  4. Step 4: Simplify right side
    9,711.50x = 50,588,302.14
  5. Step 5: Solve for x
    x = 50,588,302.14/9,711.50
  6. Step 6: Final answer
    x = 5,209.12

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Why These Related Problems?

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