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Finding the Fourth Proportional to 6,446.96, 9,656.40 and 3,982.40

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Solution

The fourth proportional to 6,446.96, 9,656.40 and 3,982.40 is: 5,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.96 : 9,656.40 = 3,982.40 : x
  2. Step 2: Convert to fraction form
    6,446.96/9,656.40 = 3,982.40/x
  3. Step 3: Cross multiply
    6,446.96x = 9,656.40 × 3,982.40
  4. Step 4: Simplify right side
    6,446.96x = 38,455,647.36
  5. Step 5: Solve for x
    x = 38,455,647.36/6,446.96
  6. Step 6: Final answer
    x = 5,964.93

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