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Finding the Fourth Proportional to 8,400.31, 12,575.86 and 6,545.81

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Solution

The fourth proportional to 8,400.31, 12,575.86 and 6,545.81 is: 9,799.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.31 : 12,575.86 = 6,545.81 : x
  2. Step 2: Convert to fraction form
    8,400.31/12,575.86 = 6,545.81/x
  3. Step 3: Cross multiply
    8,400.31x = 12,575.86 × 6,545.81
  4. Step 4: Simplify right side
    8,400.31x = 82,319,205.22
  5. Step 5: Solve for x
    x = 82,319,205.22/8,400.31
  6. Step 6: Final answer
    x = 9,799.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.