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Finding the Fourth Proportional to 6,092.32, 9,115.44 and 5,723.68

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Solution

The fourth proportional to 6,092.32, 9,115.44 and 5,723.68 is: 8,563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.32 : 9,115.44 = 5,723.68 : x
  2. Step 2: Convert to fraction form
    6,092.32/9,115.44 = 5,723.68/x
  3. Step 3: Cross multiply
    6,092.32x = 9,115.44 × 5,723.68
  4. Step 4: Simplify right side
    6,092.32x = 52,173,861.62
  5. Step 5: Solve for x
    x = 52,173,861.62/6,092.32
  6. Step 6: Final answer
    x = 8,563.87

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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.