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Finding the Fourth Proportional to 31,965.76, 47,946.90 and 9,779.14

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Solution

The fourth proportional to 31,965.76, 47,946.90 and 9,779.14 is: 14,668.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,965.76 : 47,946.90 = 9,779.14 : x
  2. Step 2: Convert to fraction form
    31,965.76/47,946.90 = 9,779.14/x
  3. Step 3: Cross multiply
    31,965.76x = 47,946.90 × 9,779.14
  4. Step 4: Simplify right side
    31,965.76x = 468,879,364.47
  5. Step 5: Solve for x
    x = 468,879,364.47/31,965.76
  6. Step 6: Final answer
    x = 14,668.17

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