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Finding the Fourth Proportional to 6,151.95, 9,230.94 and 2,861.10

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Solution

The fourth proportional to 6,151.95, 9,230.94 and 2,861.10 is: 4,293.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.95 : 9,230.94 = 2,861.10 : x
  2. Step 2: Convert to fraction form
    6,151.95/9,230.94 = 2,861.10/x
  3. Step 3: Cross multiply
    6,151.95x = 9,230.94 × 2,861.10
  4. Step 4: Simplify right side
    6,151.95x = 26,410,642.43
  5. Step 5: Solve for x
    x = 26,410,642.43/6,151.95
  6. Step 6: Final answer
    x = 4,293.05

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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.