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Finding the Fourth Proportional to 6,162.24, 9,244.98 and 5,374.92

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Solution

The fourth proportional to 6,162.24, 9,244.98 and 5,374.92 is: 8,063.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.24 : 9,244.98 = 5,374.92 : x
  2. Step 2: Convert to fraction form
    6,162.24/9,244.98 = 5,374.92/x
  3. Step 3: Cross multiply
    6,162.24x = 9,244.98 × 5,374.92
  4. Step 4: Simplify right side
    6,162.24x = 49,691,027.90
  5. Step 5: Solve for x
    x = 49,691,027.90/6,162.24
  6. Step 6: Final answer
    x = 8,063.79

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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.