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Finding the Fourth Proportional to 6,142.08, 9,214.95 and 1,982.74

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Solution

The fourth proportional to 6,142.08, 9,214.95 and 1,982.74 is: 2,974.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.08 : 9,214.95 = 1,982.74 : x
  2. Step 2: Convert to fraction form
    6,142.08/9,214.95 = 1,982.74/x
  3. Step 3: Cross multiply
    6,142.08x = 9,214.95 × 1,982.74
  4. Step 4: Simplify right side
    6,142.08x = 18,270,849.96
  5. Step 5: Solve for x
    x = 18,270,849.96/6,142.08
  6. Step 6: Final answer
    x = 2,974.70

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