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Finding the Fourth Proportional to 9,249.38, 12,764.14 and 5,057.63

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Solution

The fourth proportional to 9,249.38, 12,764.14 and 5,057.63 is: 6,979.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.38 : 12,764.14 = 5,057.63 : x
  2. Step 2: Convert to fraction form
    9,249.38/12,764.14 = 5,057.63/x
  3. Step 3: Cross multiply
    9,249.38x = 12,764.14 × 5,057.63
  4. Step 4: Simplify right side
    9,249.38x = 64,556,220.92
  5. Step 5: Solve for x
    x = 64,556,220.92/9,249.38
  6. Step 6: Final answer
    x = 6,979.52

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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.