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Finding the Fourth Proportional to 6,164.44, 9,249.08 and 2,699.26

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Solution

The fourth proportional to 6,164.44, 9,249.08 and 2,699.26 is: 4,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.44 : 9,249.08 = 2,699.26 : x
  2. Step 2: Convert to fraction form
    6,164.44/9,249.08 = 2,699.26/x
  3. Step 3: Cross multiply
    6,164.44x = 9,249.08 × 2,699.26
  4. Step 4: Simplify right side
    6,164.44x = 24,965,671.68
  5. Step 5: Solve for x
    x = 24,965,671.68/6,164.44
  6. Step 6: Final answer
    x = 4,049.95

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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.