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Finding the Fourth Proportional to 31,913.72, 47,878.26 and 9,725.75

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Solution

The fourth proportional to 31,913.72, 47,878.26 and 9,725.75 is: 14,590.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,913.72 : 47,878.26 = 9,725.75 : x
  2. Step 2: Convert to fraction form
    31,913.72/47,878.26 = 9,725.75/x
  3. Step 3: Cross multiply
    31,913.72x = 47,878.26 × 9,725.75
  4. Step 4: Simplify right side
    31,913.72x = 465,652,242.25
  5. Step 5: Solve for x
    x = 465,652,242.25/31,913.72
  6. Step 6: Final answer
    x = 14,590.97

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