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Finding the Fourth Proportional to 6,584.05, 9,876.08 and 4,121.65

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Solution

The fourth proportional to 6,584.05, 9,876.08 and 4,121.65 is: 6,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.05 : 9,876.08 = 4,121.65 : x
  2. Step 2: Convert to fraction form
    6,584.05/9,876.08 = 4,121.65/x
  3. Step 3: Cross multiply
    6,584.05x = 9,876.08 × 4,121.65
  4. Step 4: Simplify right side
    6,584.05x = 40,705,724.52
  5. Step 5: Solve for x
    x = 40,705,724.52/6,584.05
  6. Step 6: Final answer
    x = 6,182.48

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