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Finding the Fourth Proportional to 6,206.38, 9,309.61 and 1,823.90

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Solution

The fourth proportional to 6,206.38, 9,309.61 and 1,823.90 is: 2,735.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.38 : 9,309.61 = 1,823.90 : x
  2. Step 2: Convert to fraction form
    6,206.38/9,309.61 = 1,823.90/x
  3. Step 3: Cross multiply
    6,206.38x = 9,309.61 × 1,823.90
  4. Step 4: Simplify right side
    6,206.38x = 16,979,797.68
  5. Step 5: Solve for x
    x = 16,979,797.68/6,206.38
  6. Step 6: Final answer
    x = 2,735.86

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