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Finding the Fourth Proportional to 6,809.20, 9,396.12 and 3,824.80

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Solution

The fourth proportional to 6,809.20, 9,396.12 and 3,824.80 is: 5,277.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.20 : 9,396.12 = 3,824.80 : x
  2. Step 2: Convert to fraction form
    6,809.20/9,396.12 = 3,824.80/x
  3. Step 3: Cross multiply
    6,809.20x = 9,396.12 × 3,824.80
  4. Step 4: Simplify right side
    6,809.20x = 35,938,279.78
  5. Step 5: Solve for x
    x = 35,938,279.78/6,809.20
  6. Step 6: Final answer
    x = 5,277.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.