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Finding the Fourth Proportional to 6,167.10, 9,251.55 and 2,006.40

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Solution

The fourth proportional to 6,167.10, 9,251.55 and 2,006.40 is: 3,009.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.10 : 9,251.55 = 2,006.40 : x
  2. Step 2: Convert to fraction form
    6,167.10/9,251.55 = 2,006.40/x
  3. Step 3: Cross multiply
    6,167.10x = 9,251.55 × 2,006.40
  4. Step 4: Simplify right side
    6,167.10x = 18,562,309.92
  5. Step 5: Solve for x
    x = 18,562,309.92/6,167.10
  6. Step 6: Final answer
    x = 3,009.89

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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.