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Finding the Fourth Proportional to 6,517.74, 9,777.20 and 1,837.80

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Solution

The fourth proportional to 6,517.74, 9,777.20 and 1,837.80 is: 2,756.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.74 : 9,777.20 = 1,837.80 : x
  2. Step 2: Convert to fraction form
    6,517.74/9,777.20 = 1,837.80/x
  3. Step 3: Cross multiply
    6,517.74x = 9,777.20 × 1,837.80
  4. Step 4: Simplify right side
    6,517.74x = 17,968,528.97
  5. Step 5: Solve for x
    x = 17,968,528.97/6,517.74
  6. Step 6: Final answer
    x = 2,756.86

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