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Finding the Fourth Proportional to 9,251.43, 13,884.43 and 3,412.14

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Solution

The fourth proportional to 9,251.43, 13,884.43 and 3,412.14 is: 5,120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.43 : 13,884.43 = 3,412.14 : x
  2. Step 2: Convert to fraction form
    9,251.43/13,884.43 = 3,412.14/x
  3. Step 3: Cross multiply
    9,251.43x = 13,884.43 × 3,412.14
  4. Step 4: Simplify right side
    9,251.43x = 47,375,618.98
  5. Step 5: Solve for x
    x = 47,375,618.98/9,251.43
  6. Step 6: Final answer
    x = 5,120.90

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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.