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Finding the Fourth Proportional to 9,241.38, 12,753.45 and 5,049.66

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Solution

The fourth proportional to 9,241.38, 12,753.45 and 5,049.66 is: 6,968.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.38 : 12,753.45 = 5,049.66 : x
  2. Step 2: Convert to fraction form
    9,241.38/12,753.45 = 5,049.66/x
  3. Step 3: Cross multiply
    9,241.38x = 12,753.45 × 5,049.66
  4. Step 4: Simplify right side
    9,241.38x = 64,400,586.33
  5. Step 5: Solve for x
    x = 64,400,586.33/9,241.38
  6. Step 6: Final answer
    x = 6,968.72

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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.