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Finding the Fourth Proportional to 6,272.59, 9,408.39 and 3,149.41

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Solution

The fourth proportional to 6,272.59, 9,408.39 and 3,149.41 is: 4,723.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.59 : 9,408.39 = 3,149.41 : x
  2. Step 2: Convert to fraction form
    6,272.59/9,408.39 = 3,149.41/x
  3. Step 3: Cross multiply
    6,272.59x = 9,408.39 × 3,149.41
  4. Step 4: Simplify right side
    6,272.59x = 29,630,877.55
  5. Step 5: Solve for x
    x = 29,630,877.55/6,272.59
  6. Step 6: Final answer
    x = 4,723.87

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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.