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Finding the Fourth Proportional to 9,149.42, 12,626.22 and 5,170.80

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Solution

The fourth proportional to 9,149.42, 12,626.22 and 5,170.80 is: 7,135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.42 : 12,626.22 = 5,170.80 : x
  2. Step 2: Convert to fraction form
    9,149.42/12,626.22 = 5,170.80/x
  3. Step 3: Cross multiply
    9,149.42x = 12,626.22 × 5,170.80
  4. Step 4: Simplify right side
    9,149.42x = 65,287,658.38
  5. Step 5: Solve for x
    x = 65,287,658.38/9,149.42
  6. Step 6: Final answer
    x = 7,135.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.