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Finding the Fourth Proportional to 9,173.88, 12,660.12 and 5,194.80

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Solution

The fourth proportional to 9,173.88, 12,660.12 and 5,194.80 is: 7,168.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,173.88 : 12,660.12 = 5,194.80 : x
  2. Step 2: Convert to fraction form
    9,173.88/12,660.12 = 5,194.80/x
  3. Step 3: Cross multiply
    9,173.88x = 12,660.12 × 5,194.80
  4. Step 4: Simplify right side
    9,173.88x = 65,766,791.38
  5. Step 5: Solve for x
    x = 65,766,791.38/9,173.88
  6. Step 6: Final answer
    x = 7,168.92

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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.