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Finding the Fourth Proportional to 6,387.82, 8,815.23 and 3,734.73

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Solution

The fourth proportional to 6,387.82, 8,815.23 and 3,734.73 is: 5,153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.82 : 8,815.23 = 3,734.73 : x
  2. Step 2: Convert to fraction form
    6,387.82/8,815.23 = 3,734.73/x
  3. Step 3: Cross multiply
    6,387.82x = 8,815.23 × 3,734.73
  4. Step 4: Simplify right side
    6,387.82x = 32,922,503.94
  5. Step 5: Solve for x
    x = 32,922,503.94/6,387.82
  6. Step 6: Final answer
    x = 5,153.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.