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Finding the Fourth Proportional to 27,793.66, 41,680.02 and 9,069.28

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Solution

The fourth proportional to 27,793.66, 41,680.02 and 9,069.28 is: 13,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,793.66 : 41,680.02 = 9,069.28 : x
  2. Step 2: Convert to fraction form
    27,793.66/41,680.02 = 9,069.28/x
  3. Step 3: Cross multiply
    27,793.66x = 41,680.02 × 9,069.28
  4. Step 4: Simplify right side
    27,793.66x = 378,007,771.79
  5. Step 5: Solve for x
    x = 378,007,771.79/27,793.66
  6. Step 6: Final answer
    x = 13,600.50

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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.