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Finding the Fourth Proportional to 9,209.20, 13,819.24 and 3,944

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Solution

The fourth proportional to 9,209.20, 13,819.24 and 3,944 is: 5,918.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.20 : 13,819.24 = 3,944 : x
  2. Step 2: Convert to fraction form
    9,209.20/13,819.24 = 3,944/x
  3. Step 3: Cross multiply
    9,209.20x = 13,819.24 × 3,944
  4. Step 4: Simplify right side
    9,209.20x = 54,503,082.56
  5. Step 5: Solve for x
    x = 54,503,082.56/9,209.20
  6. Step 6: Final answer
    x = 5,918.33

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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.