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Finding the Fourth Proportional to 6,167.84, 9,249.67 and 2,006.82

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Solution

The fourth proportional to 6,167.84, 9,249.67 and 2,006.82 is: 3,009.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.84 : 9,249.67 = 2,006.82 : x
  2. Step 2: Convert to fraction form
    6,167.84/9,249.67 = 2,006.82/x
  3. Step 3: Cross multiply
    6,167.84x = 9,249.67 × 2,006.82
  4. Step 4: Simplify right side
    6,167.84x = 18,562,422.75
  5. Step 5: Solve for x
    x = 18,562,422.75/6,167.84
  6. Step 6: Final answer
    x = 3,009.55

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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.