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Finding the Fourth Proportional to 6,584.37, 9,872.01 and 2,423.82

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Solution

The fourth proportional to 6,584.37, 9,872.01 and 2,423.82 is: 3,634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.37 : 9,872.01 = 2,423.82 : x
  2. Step 2: Convert to fraction form
    6,584.37/9,872.01 = 2,423.82/x
  3. Step 3: Cross multiply
    6,584.37x = 9,872.01 × 2,423.82
  4. Step 4: Simplify right side
    6,584.37x = 23,927,975.28
  5. Step 5: Solve for x
    x = 23,927,975.28/6,584.37
  6. Step 6: Final answer
    x = 3,634.06

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