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Finding the Fourth Proportional to 6,205.89, 9,308.84 and 1,826.43

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Solution

The fourth proportional to 6,205.89, 9,308.84 and 1,826.43 is: 2,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.89 : 9,308.84 = 1,826.43 : x
  2. Step 2: Convert to fraction form
    6,205.89/9,308.84 = 1,826.43/x
  3. Step 3: Cross multiply
    6,205.89x = 9,308.84 × 1,826.43
  4. Step 4: Simplify right side
    6,205.89x = 17,001,944.64
  5. Step 5: Solve for x
    x = 17,001,944.64/6,205.89
  6. Step 6: Final answer
    x = 2,739.65

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