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Finding the Fourth Proportional to 6,464.80, 9,696.72 and 3,865.78

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Solution

The fourth proportional to 6,464.80, 9,696.72 and 3,865.78 is: 5,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.80 : 9,696.72 = 3,865.78 : x
  2. Step 2: Convert to fraction form
    6,464.80/9,696.72 = 3,865.78/x
  3. Step 3: Cross multiply
    6,464.80x = 9,696.72 × 3,865.78
  4. Step 4: Simplify right side
    6,464.80x = 37,485,386.24
  5. Step 5: Solve for x
    x = 37,485,386.24/6,464.80
  6. Step 6: Final answer
    x = 5,798.38

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