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Finding the Fourth Proportional to 6,545.68, 9,032.36 and 3,892.57

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Solution

The fourth proportional to 6,545.68, 9,032.36 and 3,892.57 is: 5,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.68 : 9,032.36 = 3,892.57 : x
  2. Step 2: Convert to fraction form
    6,545.68/9,032.36 = 3,892.57/x
  3. Step 3: Cross multiply
    6,545.68x = 9,032.36 × 3,892.57
  4. Step 4: Simplify right side
    6,545.68x = 35,159,124.22
  5. Step 5: Solve for x
    x = 35,159,124.22/6,545.68
  6. Step 6: Final answer
    x = 5,371.35

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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.