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Finding the Fourth Proportional to 6,464.67, 9,677.86 and 3,991.53

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Solution

The fourth proportional to 6,464.67, 9,677.86 and 3,991.53 is: 5,975.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.67 : 9,677.86 = 3,991.53 : x
  2. Step 2: Convert to fraction form
    6,464.67/9,677.86 = 3,991.53/x
  3. Step 3: Cross multiply
    6,464.67x = 9,677.86 × 3,991.53
  4. Step 4: Simplify right side
    6,464.67x = 38,629,492.72
  5. Step 5: Solve for x
    x = 38,629,492.72/6,464.67
  6. Step 6: Final answer
    x = 5,975.48

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