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Finding the Fourth Proportional to 6,149.09, 9,224.82 and 1,987.99

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Solution

The fourth proportional to 6,149.09, 9,224.82 and 1,987.99 is: 2,982.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.09 : 9,224.82 = 1,987.99 : x
  2. Step 2: Convert to fraction form
    6,149.09/9,224.82 = 1,987.99/x
  3. Step 3: Cross multiply
    6,149.09x = 9,224.82 × 1,987.99
  4. Step 4: Simplify right side
    6,149.09x = 18,338,826.85
  5. Step 5: Solve for x
    x = 18,338,826.85/6,149.09
  6. Step 6: Final answer
    x = 2,982.36

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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.