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Finding the Fourth Proportional to 8,434.92, 12,657.34 and 3,755.14

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Solution

The fourth proportional to 8,434.92, 12,657.34 and 3,755.14 is: 5,634.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.92 : 12,657.34 = 3,755.14 : x
  2. Step 2: Convert to fraction form
    8,434.92/12,657.34 = 3,755.14/x
  3. Step 3: Cross multiply
    8,434.92x = 12,657.34 × 3,755.14
  4. Step 4: Simplify right side
    8,434.92x = 47,530,083.73
  5. Step 5: Solve for x
    x = 47,530,083.73/8,434.92
  6. Step 6: Final answer
    x = 5,634.92

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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.