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Finding the Fourth Proportional to 6,793.65, 9,375.26 and 3,809.50

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Solution

The fourth proportional to 6,793.65, 9,375.26 and 3,809.50 is: 5,257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,793.65 : 9,375.26 = 3,809.50 : x
  2. Step 2: Convert to fraction form
    6,793.65/9,375.26 = 3,809.50/x
  3. Step 3: Cross multiply
    6,793.65x = 9,375.26 × 3,809.50
  4. Step 4: Simplify right side
    6,793.65x = 35,715,010.48
  5. Step 5: Solve for x
    x = 35,715,010.48/6,793.65
  6. Step 6: Final answer
    x = 5,257.12

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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.