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Finding the Fourth Proportional to 6,149.31, 9,224.87 and 1,987.93

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Solution

The fourth proportional to 6,149.31, 9,224.87 and 1,987.93 is: 2,982.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.31 : 9,224.87 = 1,987.93 : x
  2. Step 2: Convert to fraction form
    6,149.31/9,224.87 = 1,987.93/x
  3. Step 3: Cross multiply
    6,149.31x = 9,224.87 × 1,987.93
  4. Step 4: Simplify right side
    6,149.31x = 18,338,395.82
  5. Step 5: Solve for x
    x = 18,338,395.82/6,149.31
  6. Step 6: Final answer
    x = 2,982.19

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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.