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Finding the Fourth Proportional to 9,241.31, 12,753.02 and 5,049.56

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Solution

The fourth proportional to 9,241.31, 12,753.02 and 5,049.56 is: 6,968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.31 : 12,753.02 = 5,049.56 : x
  2. Step 2: Convert to fraction form
    9,241.31/12,753.02 = 5,049.56/x
  3. Step 3: Cross multiply
    9,241.31x = 12,753.02 × 5,049.56
  4. Step 4: Simplify right side
    9,241.31x = 64,397,184.18
  5. Step 5: Solve for x
    x = 64,397,184.18/9,241.31
  6. Step 6: Final answer
    x = 6,968.40

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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.