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Finding the Fourth Proportional to 9,398.57, 14,081.45 and 8,381.61

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Solution

The fourth proportional to 9,398.57, 14,081.45 and 8,381.61 is: 12,557.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.57 : 14,081.45 = 8,381.61 : x
  2. Step 2: Convert to fraction form
    9,398.57/14,081.45 = 8,381.61/x
  3. Step 3: Cross multiply
    9,398.57x = 14,081.45 × 8,381.61
  4. Step 4: Simplify right side
    9,398.57x = 118,025,180.23
  5. Step 5: Solve for x
    x = 118,025,180.23/9,398.57
  6. Step 6: Final answer
    x = 12,557.79

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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.