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Finding the Fourth Proportional to 6,545.40, 9,032.60 and 3,712.74

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Solution

The fourth proportional to 6,545.40, 9,032.60 and 3,712.74 is: 5,123.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.40 : 9,032.60 = 3,712.74 : x
  2. Step 2: Convert to fraction form
    6,545.40/9,032.60 = 3,712.74/x
  3. Step 3: Cross multiply
    6,545.40x = 9,032.60 × 3,712.74
  4. Step 4: Simplify right side
    6,545.40x = 33,535,695.32
  5. Step 5: Solve for x
    x = 33,535,695.32/6,545.40
  6. Step 6: Final answer
    x = 5,123.55

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