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Finding the Fourth Proportional to 6,664.56, 9,996.84 and 3,742.80

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Solution

The fourth proportional to 6,664.56, 9,996.84 and 3,742.80 is: 5,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.56 : 9,996.84 = 3,742.80 : x
  2. Step 2: Convert to fraction form
    6,664.56/9,996.84 = 3,742.80/x
  3. Step 3: Cross multiply
    6,664.56x = 9,996.84 × 3,742.80
  4. Step 4: Simplify right side
    6,664.56x = 37,416,172.75
  5. Step 5: Solve for x
    x = 37,416,172.75/6,664.56
  6. Step 6: Final answer
    x = 5,614.20

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