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Finding the Fourth Proportional to 6,169.68, 9,255.76 and 2,008.57

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Solution

The fourth proportional to 6,169.68, 9,255.76 and 2,008.57 is: 3,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.68 : 9,255.76 = 2,008.57 : x
  2. Step 2: Convert to fraction form
    6,169.68/9,255.76 = 2,008.57/x
  3. Step 3: Cross multiply
    6,169.68x = 9,255.76 × 2,008.57
  4. Step 4: Simplify right side
    6,169.68x = 18,590,813.70
  5. Step 5: Solve for x
    x = 18,590,813.70/6,169.68
  6. Step 6: Final answer
    x = 3,013.25

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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.