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Finding the Fourth Proportional to 6,538.12, 9,807.66 and 2,642.44

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Solution

The fourth proportional to 6,538.12, 9,807.66 and 2,642.44 is: 3,963.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.12 : 9,807.66 = 2,642.44 : x
  2. Step 2: Convert to fraction form
    6,538.12/9,807.66 = 2,642.44/x
  3. Step 3: Cross multiply
    6,538.12x = 9,807.66 × 2,642.44
  4. Step 4: Simplify right side
    6,538.12x = 25,916,153.09
  5. Step 5: Solve for x
    x = 25,916,153.09/6,538.12
  6. Step 6: Final answer
    x = 3,963.85

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