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Finding the Fourth Proportional to 6,151.15, 9,226.93 and 1,991.20

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Solution

The fourth proportional to 6,151.15, 9,226.93 and 1,991.20 is: 2,986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.15 : 9,226.93 = 1,991.20 : x
  2. Step 2: Convert to fraction form
    6,151.15/9,226.93 = 1,991.20/x
  3. Step 3: Cross multiply
    6,151.15x = 9,226.93 × 1,991.20
  4. Step 4: Simplify right side
    6,151.15x = 18,372,663.02
  5. Step 5: Solve for x
    x = 18,372,663.02/6,151.15
  6. Step 6: Final answer
    x = 2,986.87

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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.