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Finding the Fourth Proportional to 6,400.44, 9,594.96 and 2,507.56

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Solution

The fourth proportional to 6,400.44, 9,594.96 and 2,507.56 is: 3,759.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.44 : 9,594.96 = 2,507.56 : x
  2. Step 2: Convert to fraction form
    6,400.44/9,594.96 = 2,507.56/x
  3. Step 3: Cross multiply
    6,400.44x = 9,594.96 × 2,507.56
  4. Step 4: Simplify right side
    6,400.44x = 24,059,937.90
  5. Step 5: Solve for x
    x = 24,059,937.90/6,400.44
  6. Step 6: Final answer
    x = 3,759.11

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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.