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Finding the Fourth Proportional to 6,139.76, 9,211.91 and 3,676.30

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Solution

The fourth proportional to 6,139.76, 9,211.91 and 3,676.30 is: 5,515.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.76 : 9,211.91 = 3,676.30 : x
  2. Step 2: Convert to fraction form
    6,139.76/9,211.91 = 3,676.30/x
  3. Step 3: Cross multiply
    6,139.76x = 9,211.91 × 3,676.30
  4. Step 4: Simplify right side
    6,139.76x = 33,865,744.73
  5. Step 5: Solve for x
    x = 33,865,744.73/6,139.76
  6. Step 6: Final answer
    x = 5,515.81

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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.