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Finding the Fourth Proportional to 9,273.60, 13,942.80 and 9,079.20

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Solution

The fourth proportional to 9,273.60, 13,942.80 and 9,079.20 is: 13,650.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,273.60 : 13,942.80 = 9,079.20 : x
  2. Step 2: Convert to fraction form
    9,273.60/13,942.80 = 9,079.20/x
  3. Step 3: Cross multiply
    9,273.60x = 13,942.80 × 9,079.20
  4. Step 4: Simplify right side
    9,273.60x = 126,589,469.76
  5. Step 5: Solve for x
    x = 126,589,469.76/9,273.60
  6. Step 6: Final answer
    x = 13,650.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.