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Finding the Fourth Proportional to 6,338.73, 9,509.64 and 2,178.80

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Solution

The fourth proportional to 6,338.73, 9,509.64 and 2,178.80 is: 3,268.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.73 : 9,509.64 = 2,178.80 : x
  2. Step 2: Convert to fraction form
    6,338.73/9,509.64 = 2,178.80/x
  3. Step 3: Cross multiply
    6,338.73x = 9,509.64 × 2,178.80
  4. Step 4: Simplify right side
    6,338.73x = 20,719,564.25
  5. Step 5: Solve for x
    x = 20,719,564.25/6,338.73
  6. Step 6: Final answer
    x = 3,268.73

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