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Finding the Fourth Proportional to 10,234.43, 14,125.31 and 9,766.96

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Solution

The fourth proportional to 10,234.43, 14,125.31 and 9,766.96 is: 13,480.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.43 : 14,125.31 = 9,766.96 : x
  2. Step 2: Convert to fraction form
    10,234.43/14,125.31 = 9,766.96/x
  3. Step 3: Cross multiply
    10,234.43x = 14,125.31 × 9,766.96
  4. Step 4: Simplify right side
    10,234.43x = 137,961,337.76
  5. Step 5: Solve for x
    x = 137,961,337.76/10,234.43
  6. Step 6: Final answer
    x = 13,480.12

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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.