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Finding the Fourth Proportional to 6,306.39, 9,454.11 and 3,183.80

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Solution

The fourth proportional to 6,306.39, 9,454.11 and 3,183.80 is: 4,772.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.39 : 9,454.11 = 3,183.80 : x
  2. Step 2: Convert to fraction form
    6,306.39/9,454.11 = 3,183.80/x
  3. Step 3: Cross multiply
    6,306.39x = 9,454.11 × 3,183.80
  4. Step 4: Simplify right side
    6,306.39x = 30,099,995.42
  5. Step 5: Solve for x
    x = 30,099,995.42/6,306.39
  6. Step 6: Final answer
    x = 4,772.94

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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.