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Finding the Fourth Proportional to 9,508.92, 14,262.09 and 2,489.40

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Solution

The fourth proportional to 9,508.92, 14,262.09 and 2,489.40 is: 3,733.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.92 : 14,262.09 = 2,489.40 : x
  2. Step 2: Convert to fraction form
    9,508.92/14,262.09 = 2,489.40/x
  3. Step 3: Cross multiply
    9,508.92x = 14,262.09 × 2,489.40
  4. Step 4: Simplify right side
    9,508.92x = 35,504,046.85
  5. Step 5: Solve for x
    x = 35,504,046.85/9,508.92
  6. Step 6: Final answer
    x = 3,733.76

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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.