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Finding the Fourth Proportional to 6,138.61, 9,207.85 and 2,625.64

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Solution

The fourth proportional to 6,138.61, 9,207.85 and 2,625.64 is: 3,938.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.61 : 9,207.85 = 2,625.64 : x
  2. Step 2: Convert to fraction form
    6,138.61/9,207.85 = 2,625.64/x
  3. Step 3: Cross multiply
    6,138.61x = 9,207.85 × 2,625.64
  4. Step 4: Simplify right side
    6,138.61x = 24,176,507.90
  5. Step 5: Solve for x
    x = 24,176,507.90/6,138.61
  6. Step 6: Final answer
    x = 3,938.43

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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.