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Finding the Fourth Proportional to 6,454.31, 9,685.11 and 2,756.19

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Solution

The fourth proportional to 6,454.31, 9,685.11 and 2,756.19 is: 4,135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.31 : 9,685.11 = 2,756.19 : x
  2. Step 2: Convert to fraction form
    6,454.31/9,685.11 = 2,756.19/x
  3. Step 3: Cross multiply
    6,454.31x = 9,685.11 × 2,756.19
  4. Step 4: Simplify right side
    6,454.31x = 26,694,003.33
  5. Step 5: Solve for x
    x = 26,694,003.33/6,454.31
  6. Step 6: Final answer
    x = 4,135.84

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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.