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Finding the Fourth Proportional to 9,170.49, 12,662.54 and 5,985.97

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Solution

The fourth proportional to 9,170.49, 12,662.54 and 5,985.97 is: 8,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.49 : 12,662.54 = 5,985.97 : x
  2. Step 2: Convert to fraction form
    9,170.49/12,662.54 = 5,985.97/x
  3. Step 3: Cross multiply
    9,170.49x = 12,662.54 × 5,985.97
  4. Step 4: Simplify right side
    9,170.49x = 75,797,584.56
  5. Step 5: Solve for x
    x = 75,797,584.56/9,170.49
  6. Step 6: Final answer
    x = 8,265.38

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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.