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Finding the Fourth Proportional to 6,809.40, 9,396.62 and 3,825.36

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Solution

The fourth proportional to 6,809.40, 9,396.62 and 3,825.36 is: 5,278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.40 : 9,396.62 = 3,825.36 : x
  2. Step 2: Convert to fraction form
    6,809.40/9,396.62 = 3,825.36/x
  3. Step 3: Cross multiply
    6,809.40x = 9,396.62 × 3,825.36
  4. Step 4: Simplify right side
    6,809.40x = 35,945,454.28
  5. Step 5: Solve for x
    x = 35,945,454.28/6,809.40
  6. Step 6: Final answer
    x = 5,278.80

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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.