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Finding the Fourth Proportional to 6,584.76, 9,872.28 and 3,987.09

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Solution

The fourth proportional to 6,584.76, 9,872.28 and 3,987.09 is: 5,977.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.76 : 9,872.28 = 3,987.09 : x
  2. Step 2: Convert to fraction form
    6,584.76/9,872.28 = 3,987.09/x
  3. Step 3: Cross multiply
    6,584.76x = 9,872.28 × 3,987.09
  4. Step 4: Simplify right side
    6,584.76x = 39,361,668.87
  5. Step 5: Solve for x
    x = 39,361,668.87/6,584.76
  6. Step 6: Final answer
    x = 5,977.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.