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Finding the Fourth Proportional to 6,129.68, 9,194.83 and 1,747.79

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Solution

The fourth proportional to 6,129.68, 9,194.83 and 1,747.79 is: 2,621.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.68 : 9,194.83 = 1,747.79 : x
  2. Step 2: Convert to fraction form
    6,129.68/9,194.83 = 1,747.79/x
  3. Step 3: Cross multiply
    6,129.68x = 9,194.83 × 1,747.79
  4. Step 4: Simplify right side
    6,129.68x = 16,070,577.21
  5. Step 5: Solve for x
    x = 16,070,577.21/6,129.68
  6. Step 6: Final answer
    x = 2,621.76

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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.