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Finding the Fourth Proportional to 9,238.38, 12,749.31 and 5,046.66

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Solution

The fourth proportional to 9,238.38, 12,749.31 and 5,046.66 is: 6,964.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.38 : 12,749.31 = 5,046.66 : x
  2. Step 2: Convert to fraction form
    9,238.38/12,749.31 = 5,046.66/x
  3. Step 3: Cross multiply
    9,238.38x = 12,749.31 × 5,046.66
  4. Step 4: Simplify right side
    9,238.38x = 64,341,432.80
  5. Step 5: Solve for x
    x = 64,341,432.80/9,238.38
  6. Step 6: Final answer
    x = 6,964.58

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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.