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Finding the Fourth Proportional to 9,257.76, 13,882.32 and 5,363.28

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Solution

The fourth proportional to 9,257.76, 13,882.32 and 5,363.28 is: 8,042.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.76 : 13,882.32 = 5,363.28 : x
  2. Step 2: Convert to fraction form
    9,257.76/13,882.32 = 5,363.28/x
  3. Step 3: Cross multiply
    9,257.76x = 13,882.32 × 5,363.28
  4. Step 4: Simplify right side
    9,257.76x = 74,454,769.21
  5. Step 5: Solve for x
    x = 74,454,769.21/9,257.76
  6. Step 6: Final answer
    x = 8,042.42

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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.