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Finding the Fourth Proportional to 31,827.62, 47,740.98 and 9,641.46

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Solution

The fourth proportional to 31,827.62, 47,740.98 and 9,641.46 is: 14,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,827.62 : 47,740.98 = 9,641.46 : x
  2. Step 2: Convert to fraction form
    31,827.62/47,740.98 = 9,641.46/x
  3. Step 3: Cross multiply
    31,827.62x = 47,740.98 × 9,641.46
  4. Step 4: Simplify right side
    31,827.62x = 460,292,749.03
  5. Step 5: Solve for x
    x = 460,292,749.03/31,827.62
  6. Step 6: Final answer
    x = 14,462.05

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