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Finding the Fourth Proportional to 6,209.56, 9,314.22 and 1,826.92

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Solution

The fourth proportional to 6,209.56, 9,314.22 and 1,826.92 is: 2,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.56 : 9,314.22 = 1,826.92 : x
  2. Step 2: Convert to fraction form
    6,209.56/9,314.22 = 1,826.92/x
  3. Step 3: Cross multiply
    6,209.56x = 9,314.22 × 1,826.92
  4. Step 4: Simplify right side
    6,209.56x = 17,016,334.80
  5. Step 5: Solve for x
    x = 17,016,334.80/6,209.56
  6. Step 6: Final answer
    x = 2,740.34

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