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Finding the Fourth Proportional to 6,209.38, 9,314.06 and 1,826.83

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Solution

The fourth proportional to 6,209.38, 9,314.06 and 1,826.83 is: 2,740.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.38 : 9,314.06 = 1,826.83 : x
  2. Step 2: Convert to fraction form
    6,209.38/9,314.06 = 1,826.83/x
  3. Step 3: Cross multiply
    6,209.38x = 9,314.06 × 1,826.83
  4. Step 4: Simplify right side
    6,209.38x = 17,015,195.10
  5. Step 5: Solve for x
    x = 17,015,195.10/6,209.38
  6. Step 6: Final answer
    x = 2,740.24

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