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Finding the Fourth Proportional to 9,149.60, 12,626.64 and 5,375.44

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Solution

The fourth proportional to 9,149.60, 12,626.64 and 5,375.44 is: 7,418.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.60 : 12,626.64 = 5,375.44 : x
  2. Step 2: Convert to fraction form
    9,149.60/12,626.64 = 5,375.44/x
  3. Step 3: Cross multiply
    9,149.60x = 12,626.64 × 5,375.44
  4. Step 4: Simplify right side
    9,149.60x = 67,873,745.72
  5. Step 5: Solve for x
    x = 67,873,745.72/9,149.60
  6. Step 6: Final answer
    x = 7,418.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.