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Finding the Fourth Proportional to 9,545.38, 13,177.11 and 6,363.97

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Solution

The fourth proportional to 9,545.38, 13,177.11 and 6,363.97 is: 8,785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.38 : 13,177.11 = 6,363.97 : x
  2. Step 2: Convert to fraction form
    9,545.38/13,177.11 = 6,363.97/x
  3. Step 3: Cross multiply
    9,545.38x = 13,177.11 × 6,363.97
  4. Step 4: Simplify right side
    9,545.38x = 83,858,732.73
  5. Step 5: Solve for x
    x = 83,858,732.73/9,545.38
  6. Step 6: Final answer
    x = 8,785.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.