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Finding the Fourth Proportional to 9,269.52, 13,904.17 and 2,249.60

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Solution

The fourth proportional to 9,269.52, 13,904.17 and 2,249.60 is: 3,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.52 : 13,904.17 = 2,249.60 : x
  2. Step 2: Convert to fraction form
    9,269.52/13,904.17 = 2,249.60/x
  3. Step 3: Cross multiply
    9,269.52x = 13,904.17 × 2,249.60
  4. Step 4: Simplify right side
    9,269.52x = 31,278,745.69
  5. Step 5: Solve for x
    x = 31,278,745.69/9,269.52
  6. Step 6: Final answer
    x = 3,374.36

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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.