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Finding the Fourth Proportional to 9,199.42, 13,794 and 5,452.72

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Solution

The fourth proportional to 9,199.42, 13,794 and 5,452.72 is: 8,176.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.42 : 13,794 = 5,452.72 : x
  2. Step 2: Convert to fraction form
    9,199.42/13,794 = 5,452.72/x
  3. Step 3: Cross multiply
    9,199.42x = 13,794 × 5,452.72
  4. Step 4: Simplify right side
    9,199.42x = 75,214,819.68
  5. Step 5: Solve for x
    x = 75,214,819.68/9,199.42
  6. Step 6: Final answer
    x = 8,176.04

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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.