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Finding the Fourth Proportional to 9,269.43, 13,904.03 and 2,249.50

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Solution

The fourth proportional to 9,269.43, 13,904.03 and 2,249.50 is: 3,374.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.43 : 13,904.03 = 2,249.50 : x
  2. Step 2: Convert to fraction form
    9,269.43/13,904.03 = 2,249.50/x
  3. Step 3: Cross multiply
    9,269.43x = 13,904.03 × 2,249.50
  4. Step 4: Simplify right side
    9,269.43x = 31,277,107.05
  5. Step 5: Solve for x
    x = 31,277,107.05/9,269.43
  6. Step 6: Final answer
    x = 3,374.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.