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Finding the Fourth Proportional to 6,205.82, 9,305.99 and 3,862.28

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Solution

The fourth proportional to 6,205.82, 9,305.99 and 3,862.28 is: 5,791.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.82 : 9,305.99 = 3,862.28 : x
  2. Step 2: Convert to fraction form
    6,205.82/9,305.99 = 3,862.28/x
  3. Step 3: Cross multiply
    6,205.82x = 9,305.99 × 3,862.28
  4. Step 4: Simplify right side
    6,205.82x = 35,942,357.49
  5. Step 5: Solve for x
    x = 35,942,357.49/6,205.82
  6. Step 6: Final answer
    x = 5,791.72

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