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Finding the Fourth Proportional to 31,402.89, 47,103.68 and 9,215.78

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Solution

The fourth proportional to 31,402.89, 47,103.68 and 9,215.78 is: 13,823.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,402.89 : 47,103.68 = 9,215.78 : x
  2. Step 2: Convert to fraction form
    31,402.89/47,103.68 = 9,215.78/x
  3. Step 3: Cross multiply
    31,402.89x = 47,103.68 × 9,215.78
  4. Step 4: Simplify right side
    31,402.89x = 434,096,870.47
  5. Step 5: Solve for x
    x = 434,096,870.47/31,402.89
  6. Step 6: Final answer
    x = 13,823.47

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