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Finding the Fourth Proportional to 9,136.57, 13,691.13 and 7,053.43

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Solution

The fourth proportional to 9,136.57, 13,691.13 and 7,053.43 is: 10,569.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.57 : 13,691.13 = 7,053.43 : x
  2. Step 2: Convert to fraction form
    9,136.57/13,691.13 = 7,053.43/x
  3. Step 3: Cross multiply
    9,136.57x = 13,691.13 × 7,053.43
  4. Step 4: Simplify right side
    9,136.57x = 96,569,427.08
  5. Step 5: Solve for x
    x = 96,569,427.08/9,136.57
  6. Step 6: Final answer
    x = 10,569.55

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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.