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Finding the Fourth Proportional to 6,173.85, 9,261.07 and 2,013.85

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Solution

The fourth proportional to 6,173.85, 9,261.07 and 2,013.85 is: 3,020.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.85 : 9,261.07 = 2,013.85 : x
  2. Step 2: Convert to fraction form
    6,173.85/9,261.07 = 2,013.85/x
  3. Step 3: Cross multiply
    6,173.85x = 9,261.07 × 2,013.85
  4. Step 4: Simplify right side
    6,173.85x = 18,650,377.63
  5. Step 5: Solve for x
    x = 18,650,377.63/6,173.85
  6. Step 6: Final answer
    x = 3,020.87

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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.