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Finding the Fourth Proportional to 6,410.64, 9,634.20 and 4,371.60

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Solution

The fourth proportional to 6,410.64, 9,634.20 and 4,371.60 is: 6,569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.64 : 9,634.20 = 4,371.60 : x
  2. Step 2: Convert to fraction form
    6,410.64/9,634.20 = 4,371.60/x
  3. Step 3: Cross multiply
    6,410.64x = 9,634.20 × 4,371.60
  4. Step 4: Simplify right side
    6,410.64x = 42,116,868.72
  5. Step 5: Solve for x
    x = 42,116,868.72/6,410.64
  6. Step 6: Final answer
    x = 6,569.84

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