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Finding the Fourth Proportional to 9,167.64, 12,649.20 and 5,187.88

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Solution

The fourth proportional to 9,167.64, 12,649.20 and 5,187.88 is: 7,158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.64 : 12,649.20 = 5,187.88 : x
  2. Step 2: Convert to fraction form
    9,167.64/12,649.20 = 5,187.88/x
  3. Step 3: Cross multiply
    9,167.64x = 12,649.20 × 5,187.88
  4. Step 4: Simplify right side
    9,167.64x = 65,622,531.70
  5. Step 5: Solve for x
    x = 65,622,531.70/9,167.64
  6. Step 6: Final answer
    x = 7,158.06

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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.