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Finding the Fourth Proportional to 9,049.25, 12,487.97 and 5,070.38

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Solution

The fourth proportional to 9,049.25, 12,487.97 and 5,070.38 is: 6,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.25 : 12,487.97 = 5,070.38 : x
  2. Step 2: Convert to fraction form
    9,049.25/12,487.97 = 5,070.38/x
  3. Step 3: Cross multiply
    9,049.25x = 12,487.97 × 5,070.38
  4. Step 4: Simplify right side
    9,049.25x = 63,318,703.56
  5. Step 5: Solve for x
    x = 63,318,703.56/9,049.25
  6. Step 6: Final answer
    x = 6,997.12

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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.