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Finding the Fourth Proportional to 6,340.38, 9,517.26 and 5,183.70

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Solution

The fourth proportional to 6,340.38, 9,517.26 and 5,183.70 is: 7,781.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.38 : 9,517.26 = 5,183.70 : x
  2. Step 2: Convert to fraction form
    6,340.38/9,517.26 = 5,183.70/x
  3. Step 3: Cross multiply
    6,340.38x = 9,517.26 × 5,183.70
  4. Step 4: Simplify right side
    6,340.38x = 49,334,620.66
  5. Step 5: Solve for x
    x = 49,334,620.66/6,340.38
  6. Step 6: Final answer
    x = 7,781.02

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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.