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Finding the Fourth Proportional to 6,464.28, 9,692.64 and 3,541.80

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Solution

The fourth proportional to 6,464.28, 9,692.64 and 3,541.80 is: 5,310.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.28 : 9,692.64 = 3,541.80 : x
  2. Step 2: Convert to fraction form
    6,464.28/9,692.64 = 3,541.80/x
  3. Step 3: Cross multiply
    6,464.28x = 9,692.64 × 3,541.80
  4. Step 4: Simplify right side
    6,464.28x = 34,329,392.35
  5. Step 5: Solve for x
    x = 34,329,392.35/6,464.28
  6. Step 6: Final answer
    x = 5,310.63

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