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Finding the Fourth Proportional to 9,167.56, 12,649.62 and 5,980

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Solution

The fourth proportional to 9,167.56, 12,649.62 and 5,980 is: 8,251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.56 : 12,649.62 = 5,980 : x
  2. Step 2: Convert to fraction form
    9,167.56/12,649.62 = 5,980/x
  3. Step 3: Cross multiply
    9,167.56x = 12,649.62 × 5,980
  4. Step 4: Simplify right side
    9,167.56x = 75,644,727.60
  5. Step 5: Solve for x
    x = 75,644,727.60/9,167.56
  6. Step 6: Final answer
    x = 8,251.35

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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.