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Finding the Fourth Proportional to 31,964.16, 47,934.72 and 9,772.80

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Solution

The fourth proportional to 31,964.16, 47,934.72 and 9,772.80 is: 14,655.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,964.16 : 47,934.72 = 9,772.80 : x
  2. Step 2: Convert to fraction form
    31,964.16/47,934.72 = 9,772.80/x
  3. Step 3: Cross multiply
    31,964.16x = 47,934.72 × 9,772.80
  4. Step 4: Simplify right side
    31,964.16x = 468,456,431.62
  5. Step 5: Solve for x
    x = 468,456,431.62/31,964.16
  6. Step 6: Final answer
    x = 14,655.68

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