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Finding the Fourth Proportional to 9,174.38, 12,659.52 and 5,195.35

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Solution

The fourth proportional to 9,174.38, 12,659.52 and 5,195.35 is: 7,168.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.38 : 12,659.52 = 5,195.35 : x
  2. Step 2: Convert to fraction form
    9,174.38/12,659.52 = 5,195.35/x
  3. Step 3: Cross multiply
    9,174.38x = 12,659.52 × 5,195.35
  4. Step 4: Simplify right side
    9,174.38x = 65,770,672.54
  5. Step 5: Solve for x
    x = 65,770,672.54/9,174.38
  6. Step 6: Final answer
    x = 7,168.95

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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.