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Finding the Fourth Proportional to 9,077.38, 12,517.29 and 7,185.94

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Solution

The fourth proportional to 9,077.38, 12,517.29 and 7,185.94 is: 9,909.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.38 : 12,517.29 = 7,185.94 : x
  2. Step 2: Convert to fraction form
    9,077.38/12,517.29 = 7,185.94/x
  3. Step 3: Cross multiply
    9,077.38x = 12,517.29 × 7,185.94
  4. Step 4: Simplify right side
    9,077.38x = 89,948,494.90
  5. Step 5: Solve for x
    x = 89,948,494.90/9,077.38
  6. Step 6: Final answer
    x = 9,909.08

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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.