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Finding the Fourth Proportional to 6,584.52, 9,881.64 and 3,121.80

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Solution

The fourth proportional to 6,584.52, 9,881.64 and 3,121.80 is: 4,685.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.52 : 9,881.64 = 3,121.80 : x
  2. Step 2: Convert to fraction form
    6,584.52/9,881.64 = 3,121.80/x
  3. Step 3: Cross multiply
    6,584.52x = 9,881.64 × 3,121.80
  4. Step 4: Simplify right side
    6,584.52x = 30,848,503.75
  5. Step 5: Solve for x
    x = 30,848,503.75/6,584.52
  6. Step 6: Final answer
    x = 4,685.00

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