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Finding the Fourth Proportional to 6,100.38, 9,150.57 and 4,993.20

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Solution

The fourth proportional to 6,100.38, 9,150.57 and 4,993.20 is: 7,489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.38 : 9,150.57 = 4,993.20 : x
  2. Step 2: Convert to fraction form
    6,100.38/9,150.57 = 4,993.20/x
  3. Step 3: Cross multiply
    6,100.38x = 9,150.57 × 4,993.20
  4. Step 4: Simplify right side
    6,100.38x = 45,690,626.12
  5. Step 5: Solve for x
    x = 45,690,626.12/6,100.38
  6. Step 6: Final answer
    x = 7,489.80

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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.