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Finding the Fourth Proportional to 6,151.85, 9,227.70 and 1,991.76

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Solution

The fourth proportional to 6,151.85, 9,227.70 and 1,991.76 is: 2,987.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.85 : 9,227.70 = 1,991.76 : x
  2. Step 2: Convert to fraction form
    6,151.85/9,227.70 = 1,991.76/x
  3. Step 3: Cross multiply
    6,151.85x = 9,227.70 × 1,991.76
  4. Step 4: Simplify right side
    6,151.85x = 18,379,401.41
  5. Step 5: Solve for x
    x = 18,379,401.41/6,151.85
  6. Step 6: Final answer
    x = 2,987.62

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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.