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Finding the Fourth Proportional to 6,142.62, 9,214.52 and 1,981.64

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Solution

The fourth proportional to 6,142.62, 9,214.52 and 1,981.64 is: 2,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.62 : 9,214.52 = 1,981.64 : x
  2. Step 2: Convert to fraction form
    6,142.62/9,214.52 = 1,981.64/x
  3. Step 3: Cross multiply
    6,142.62x = 9,214.52 × 1,981.64
  4. Step 4: Simplify right side
    6,142.62x = 18,259,861.41
  5. Step 5: Solve for x
    x = 18,259,861.41/6,142.62
  6. Step 6: Final answer
    x = 2,972.65

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