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Finding the Fourth Proportional to 6,400.74, 9,588.68 and 4,202.80

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Solution

The fourth proportional to 6,400.74, 9,588.68 and 4,202.80 is: 6,296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.74 : 9,588.68 = 4,202.80 : x
  2. Step 2: Convert to fraction form
    6,400.74/9,588.68 = 4,202.80/x
  3. Step 3: Cross multiply
    6,400.74x = 9,588.68 × 4,202.80
  4. Step 4: Simplify right side
    6,400.74x = 40,299,304.30
  5. Step 5: Solve for x
    x = 40,299,304.30/6,400.74
  6. Step 6: Final answer
    x = 6,296.04

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