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Finding the Fourth Proportional to 6,183.56, 9,264.18 and 4,098.62

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Solution

The fourth proportional to 6,183.56, 9,264.18 and 4,098.62 is: 6,140.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.56 : 9,264.18 = 4,098.62 : x
  2. Step 2: Convert to fraction form
    6,183.56/9,264.18 = 4,098.62/x
  3. Step 3: Cross multiply
    6,183.56x = 9,264.18 × 4,098.62
  4. Step 4: Simplify right side
    6,183.56x = 37,970,353.43
  5. Step 5: Solve for x
    x = 37,970,353.43/6,183.56
  6. Step 6: Final answer
    x = 6,140.53

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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.