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Finding the Fourth Proportional to 6,209.68, 9,315.40 and 1,827.44

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Solution

The fourth proportional to 6,209.68, 9,315.40 and 1,827.44 is: 2,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.68 : 9,315.40 = 1,827.44 : x
  2. Step 2: Convert to fraction form
    6,209.68/9,315.40 = 1,827.44/x
  3. Step 3: Cross multiply
    6,209.68x = 9,315.40 × 1,827.44
  4. Step 4: Simplify right side
    6,209.68x = 17,023,334.58
  5. Step 5: Solve for x
    x = 17,023,334.58/6,209.68
  6. Step 6: Final answer
    x = 2,741.42

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