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Finding the Fourth Proportional to 9,508.62, 14,275.86 and 5,351.56

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Solution

The fourth proportional to 9,508.62, 14,275.86 and 5,351.56 is: 8,034.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.62 : 14,275.86 = 5,351.56 : x
  2. Step 2: Convert to fraction form
    9,508.62/14,275.86 = 5,351.56/x
  3. Step 3: Cross multiply
    9,508.62x = 14,275.86 × 5,351.56
  4. Step 4: Simplify right side
    9,508.62x = 76,398,121.34
  5. Step 5: Solve for x
    x = 76,398,121.34/9,508.62
  6. Step 6: Final answer
    x = 8,034.62

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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.