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Finding the Fourth Proportional to 31,849.28, 47,775.82 and 9,662.84

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Solution

The fourth proportional to 31,849.28, 47,775.82 and 9,662.84 is: 14,494.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,849.28 : 47,775.82 = 9,662.84 : x
  2. Step 2: Convert to fraction form
    31,849.28/47,775.82 = 9,662.84/x
  3. Step 3: Cross multiply
    31,849.28x = 47,775.82 × 9,662.84
  4. Step 4: Simplify right side
    31,849.28x = 461,650,104.53
  5. Step 5: Solve for x
    x = 461,650,104.53/31,849.28
  6. Step 6: Final answer
    x = 14,494.84

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