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Finding the Fourth Proportional to 6,126.92, 9,191.22 and 1,965.95

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Solution

The fourth proportional to 6,126.92, 9,191.22 and 1,965.95 is: 2,949.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126.92 : 9,191.22 = 1,965.95 : x
  2. Step 2: Convert to fraction form
    6,126.92/9,191.22 = 1,965.95/x
  3. Step 3: Cross multiply
    6,126.92x = 9,191.22 × 1,965.95
  4. Step 4: Simplify right side
    6,126.92x = 18,069,433.00
  5. Step 5: Solve for x
    x = 18,069,433.00/6,126.92
  6. Step 6: Final answer
    x = 2,949.19

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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.