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Finding the Fourth Proportional to 10,651.77, 14,680.85 and 9,429.89

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Solution

The fourth proportional to 10,651.77, 14,680.85 and 9,429.89 is: 12,996.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.77 : 14,680.85 = 9,429.89 : x
  2. Step 2: Convert to fraction form
    10,651.77/14,680.85 = 9,429.89/x
  3. Step 3: Cross multiply
    10,651.77x = 14,680.85 × 9,429.89
  4. Step 4: Simplify right side
    10,651.77x = 138,438,680.05
  5. Step 5: Solve for x
    x = 138,438,680.05/10,651.77
  6. Step 6: Final answer
    x = 12,996.78

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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.