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Finding the Fourth Proportional to 6,399.28, 9,586.68 and 5,650.48

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Solution

The fourth proportional to 6,399.28, 9,586.68 and 5,650.48 is: 8,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.28 : 9,586.68 = 5,650.48 : x
  2. Step 2: Convert to fraction form
    6,399.28/9,586.68 = 5,650.48/x
  3. Step 3: Cross multiply
    6,399.28x = 9,586.68 × 5,650.48
  4. Step 4: Simplify right side
    6,399.28x = 54,169,343.61
  5. Step 5: Solve for x
    x = 54,169,343.61/6,399.28
  6. Step 6: Final answer
    x = 8,464.91

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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.