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Finding the Fourth Proportional to 9,234.25, 13,828.17 and 5,709.76

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Solution

The fourth proportional to 9,234.25, 13,828.17 and 5,709.76 is: 8,550.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.25 : 13,828.17 = 5,709.76 : x
  2. Step 2: Convert to fraction form
    9,234.25/13,828.17 = 5,709.76/x
  3. Step 3: Cross multiply
    9,234.25x = 13,828.17 × 5,709.76
  4. Step 4: Simplify right side
    9,234.25x = 78,955,531.94
  5. Step 5: Solve for x
    x = 78,955,531.94/9,234.25
  6. Step 6: Final answer
    x = 8,550.29

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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.