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Finding the Fourth Proportional to 6,211.94, 9,320.91 and 3,092.22

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Solution

The fourth proportional to 6,211.94, 9,320.91 and 3,092.22 is: 4,639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.94 : 9,320.91 = 3,092.22 : x
  2. Step 2: Convert to fraction form
    6,211.94/9,320.91 = 3,092.22/x
  3. Step 3: Cross multiply
    6,211.94x = 9,320.91 × 3,092.22
  4. Step 4: Simplify right side
    6,211.94x = 28,822,339.27
  5. Step 5: Solve for x
    x = 28,822,339.27/6,211.94
  6. Step 6: Final answer
    x = 4,639.83

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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.