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Finding the Fourth Proportional to 6,194.67, 9,292.99 and 2,033.70

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Solution

The fourth proportional to 6,194.67, 9,292.99 and 2,033.70 is: 3,050.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.67 : 9,292.99 = 2,033.70 : x
  2. Step 2: Convert to fraction form
    6,194.67/9,292.99 = 2,033.70/x
  3. Step 3: Cross multiply
    6,194.67x = 9,292.99 × 2,033.70
  4. Step 4: Simplify right side
    6,194.67x = 18,899,153.76
  5. Step 5: Solve for x
    x = 18,899,153.76/6,194.67
  6. Step 6: Final answer
    x = 3,050.87

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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.