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Finding the Fourth Proportional to 9,269.57, 13,904.24 and 2,249.64

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Solution

The fourth proportional to 9,269.57, 13,904.24 and 2,249.64 is: 3,374.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.57 : 13,904.24 = 2,249.64 : x
  2. Step 2: Convert to fraction form
    9,269.57/13,904.24 = 2,249.64/x
  3. Step 3: Cross multiply
    9,269.57x = 13,904.24 × 2,249.64
  4. Step 4: Simplify right side
    9,269.57x = 31,279,523.23
  5. Step 5: Solve for x
    x = 31,279,523.23/9,269.57
  6. Step 6: Final answer
    x = 3,374.43

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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.