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Finding the Fourth Proportional to 6,584.85, 9,876.30 and 2,423.89

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Solution

The fourth proportional to 6,584.85, 9,876.30 and 2,423.89 is: 3,635.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.85 : 9,876.30 = 2,423.89 : x
  2. Step 2: Convert to fraction form
    6,584.85/9,876.30 = 2,423.89/x
  3. Step 3: Cross multiply
    6,584.85x = 9,876.30 × 2,423.89
  4. Step 4: Simplify right side
    6,584.85x = 23,939,064.81
  5. Step 5: Solve for x
    x = 23,939,064.81/6,584.85
  6. Step 6: Final answer
    x = 3,635.48

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