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Finding the Fourth Proportional to 6,584.83, 9,875.86 and 2,423.75

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Solution

The fourth proportional to 6,584.83, 9,875.86 and 2,423.75 is: 3,635.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.83 : 9,875.86 = 2,423.75 : x
  2. Step 2: Convert to fraction form
    6,584.83/9,875.86 = 2,423.75/x
  3. Step 3: Cross multiply
    6,584.83x = 9,875.86 × 2,423.75
  4. Step 4: Simplify right side
    6,584.83x = 23,936,560.24
  5. Step 5: Solve for x
    x = 23,936,560.24/6,584.83
  6. Step 6: Final answer
    x = 3,635.11

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