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Finding the Fourth Proportional to 6,809.28, 9,396.84 and 3,825.24

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Solution

The fourth proportional to 6,809.28, 9,396.84 and 3,825.24 is: 5,278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.28 : 9,396.84 = 3,825.24 : x
  2. Step 2: Convert to fraction form
    6,809.28/9,396.84 = 3,825.24/x
  3. Step 3: Cross multiply
    6,809.28x = 9,396.84 × 3,825.24
  4. Step 4: Simplify right side
    6,809.28x = 35,945,168.24
  5. Step 5: Solve for x
    x = 35,945,168.24/6,809.28
  6. Step 6: Final answer
    x = 5,278.85

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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.