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Finding the Fourth Proportional to 6,111.99, 9,169.56 and 2,827.44

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Solution

The fourth proportional to 6,111.99, 9,169.56 and 2,827.44 is: 4,241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.99 : 9,169.56 = 2,827.44 : x
  2. Step 2: Convert to fraction form
    6,111.99/9,169.56 = 2,827.44/x
  3. Step 3: Cross multiply
    6,111.99x = 9,169.56 × 2,827.44
  4. Step 4: Simplify right side
    6,111.99x = 25,926,380.73
  5. Step 5: Solve for x
    x = 25,926,380.73/6,111.99
  6. Step 6: Final answer
    x = 4,241.89

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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.