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Finding the Fourth Proportional to 31,965.29, 47,946.21 and 9,778.67

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Solution

The fourth proportional to 31,965.29, 47,946.21 and 9,778.67 is: 14,667.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,965.29 : 47,946.21 = 9,778.67 : x
  2. Step 2: Convert to fraction form
    31,965.29/47,946.21 = 9,778.67/x
  3. Step 3: Cross multiply
    31,965.29x = 47,946.21 × 9,778.67
  4. Step 4: Simplify right side
    31,965.29x = 468,850,165.34
  5. Step 5: Solve for x
    x = 468,850,165.34/31,965.29
  6. Step 6: Final answer
    x = 14,667.48

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