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Finding the Fourth Proportional to 31,972.34, 47,956.74 and 9,785.72

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Solution

The fourth proportional to 31,972.34, 47,956.74 and 9,785.72 is: 14,678.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,972.34 : 47,956.74 = 9,785.72 : x
  2. Step 2: Convert to fraction form
    31,972.34/47,956.74 = 9,785.72/x
  3. Step 3: Cross multiply
    31,972.34x = 47,956.74 × 9,785.72
  4. Step 4: Simplify right side
    31,972.34x = 469,291,229.75
  5. Step 5: Solve for x
    x = 469,291,229.75/31,972.34
  6. Step 6: Final answer
    x = 14,678.04

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