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Finding the Fourth Proportional to 9,174.35, 12,660.72 and 5,195.39

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Solution

The fourth proportional to 9,174.35, 12,660.72 and 5,195.39 is: 7,169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.35 : 12,660.72 = 5,195.39 : x
  2. Step 2: Convert to fraction form
    9,174.35/12,660.72 = 5,195.39/x
  3. Step 3: Cross multiply
    9,174.35x = 12,660.72 × 5,195.39
  4. Step 4: Simplify right side
    9,174.35x = 65,777,314.78
  5. Step 5: Solve for x
    x = 65,777,314.78/9,174.35
  6. Step 6: Final answer
    x = 7,169.70

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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.