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Finding the Fourth Proportional to 9,129.50, 13,694.26 and 2,204

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Solution

The fourth proportional to 9,129.50, 13,694.26 and 2,204 is: 3,306.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.50 : 13,694.26 = 2,204 : x
  2. Step 2: Convert to fraction form
    9,129.50/13,694.26 = 2,204/x
  3. Step 3: Cross multiply
    9,129.50x = 13,694.26 × 2,204
  4. Step 4: Simplify right side
    9,129.50x = 30,182,149.04
  5. Step 5: Solve for x
    x = 30,182,149.04/9,129.50
  6. Step 6: Final answer
    x = 3,306.00

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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.