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Finding the Fourth Proportional to 9,508.48, 14,262.66 and 5,128

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Solution

The fourth proportional to 9,508.48, 14,262.66 and 5,128 is: 7,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.48 : 14,262.66 = 5,128 : x
  2. Step 2: Convert to fraction form
    9,508.48/14,262.66 = 5,128/x
  3. Step 3: Cross multiply
    9,508.48x = 14,262.66 × 5,128
  4. Step 4: Simplify right side
    9,508.48x = 73,138,920.48
  5. Step 5: Solve for x
    x = 73,138,920.48/9,508.48
  6. Step 6: Final answer
    x = 7,691.97

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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.