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Finding the Fourth Proportional to 9,234.26, 13,843.17 and 3,389.50

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Solution

The fourth proportional to 9,234.26, 13,843.17 and 3,389.50 is: 5,081.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.26 : 13,843.17 = 3,389.50 : x
  2. Step 2: Convert to fraction form
    9,234.26/13,843.17 = 3,389.50/x
  3. Step 3: Cross multiply
    9,234.26x = 13,843.17 × 3,389.50
  4. Step 4: Simplify right side
    9,234.26x = 46,921,454.73
  5. Step 5: Solve for x
    x = 46,921,454.73/9,234.26
  6. Step 6: Final answer
    x = 5,081.24

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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.