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Finding the Fourth Proportional to 6,917.31, 9,545.92 and 3,773.57

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Solution

The fourth proportional to 6,917.31, 9,545.92 and 3,773.57 is: 5,207.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917.31 : 9,545.92 = 3,773.57 : x
  2. Step 2: Convert to fraction form
    6,917.31/9,545.92 = 3,773.57/x
  3. Step 3: Cross multiply
    6,917.31x = 9,545.92 × 3,773.57
  4. Step 4: Simplify right side
    6,917.31x = 36,022,140.17
  5. Step 5: Solve for x
    x = 36,022,140.17/6,917.31
  6. Step 6: Final answer
    x = 5,207.54

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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.