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Finding the Fourth Proportional to 10,279.67, 14,171.11 and 6,736.73

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Solution

The fourth proportional to 10,279.67, 14,171.11 and 6,736.73 is: 9,286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.67 : 14,171.11 = 6,736.73 : x
  2. Step 2: Convert to fraction form
    10,279.67/14,171.11 = 6,736.73/x
  3. Step 3: Cross multiply
    10,279.67x = 14,171.11 × 6,736.73
  4. Step 4: Simplify right side
    10,279.67x = 95,466,941.87
  5. Step 5: Solve for x
    x = 95,466,941.87/10,279.67
  6. Step 6: Final answer
    x = 9,286.97

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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.