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Finding the Fourth Proportional to 31,970.61, 47,962.94 and 9,785.70

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Solution

The fourth proportional to 31,970.61, 47,962.94 and 9,785.70 is: 14,680.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,970.61 : 47,962.94 = 9,785.70 : x
  2. Step 2: Convert to fraction form
    31,970.61/47,962.94 = 9,785.70/x
  3. Step 3: Cross multiply
    31,970.61x = 47,962.94 × 9,785.70
  4. Step 4: Simplify right side
    31,970.61x = 469,350,984.77
  5. Step 5: Solve for x
    x = 469,350,984.77/31,970.61
  6. Step 6: Final answer
    x = 14,680.70

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