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Finding the Fourth Proportional to 6,906.67, 9,531.24 and 3,762.86

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Solution

The fourth proportional to 6,906.67, 9,531.24 and 3,762.86 is: 5,192.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.67 : 9,531.24 = 3,762.86 : x
  2. Step 2: Convert to fraction form
    6,906.67/9,531.24 = 3,762.86/x
  3. Step 3: Cross multiply
    6,906.67x = 9,531.24 × 3,762.86
  4. Step 4: Simplify right side
    6,906.67x = 35,864,659.98
  5. Step 5: Solve for x
    x = 35,864,659.98/6,906.67
  6. Step 6: Final answer
    x = 5,192.76

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