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Finding the Fourth Proportional to 9,149.69, 12,626.03 and 5,170.86

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Solution

The fourth proportional to 9,149.69, 12,626.03 and 5,170.86 is: 7,135.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.69 : 12,626.03 = 5,170.86 : x
  2. Step 2: Convert to fraction form
    9,149.69/12,626.03 = 5,170.86/x
  3. Step 3: Cross multiply
    9,149.69x = 12,626.03 × 5,170.86
  4. Step 4: Simplify right side
    9,149.69x = 65,287,446.41
  5. Step 5: Solve for x
    x = 65,287,446.41/9,149.69
  6. Step 6: Final answer
    x = 7,135.48

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