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Finding the Fourth Proportional to 9,149.40, 12,626.42 and 5,170.42

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Solution

The fourth proportional to 9,149.40, 12,626.42 and 5,170.42 is: 7,135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.40 : 12,626.42 = 5,170.42 : x
  2. Step 2: Convert to fraction form
    9,149.40/12,626.42 = 5,170.42/x
  3. Step 3: Cross multiply
    9,149.40x = 12,626.42 × 5,170.42
  4. Step 4: Simplify right side
    9,149.40x = 65,283,894.50
  5. Step 5: Solve for x
    x = 65,283,894.50/9,149.40
  6. Step 6: Final answer
    x = 7,135.32

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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.