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Finding the Fourth Proportional to 9,149.69, 12,627.69 and 5,966.39

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Solution

The fourth proportional to 9,149.69, 12,627.69 and 5,966.39 is: 8,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.69 : 12,627.69 = 5,966.39 : x
  2. Step 2: Convert to fraction form
    9,149.69/12,627.69 = 5,966.39/x
  3. Step 3: Cross multiply
    9,149.69x = 12,627.69 × 5,966.39
  4. Step 4: Simplify right side
    9,149.69x = 75,341,723.34
  5. Step 5: Solve for x
    x = 75,341,723.34/9,149.69
  6. Step 6: Final answer
    x = 8,234.35

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Similar ratio
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1.5x scale

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.