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Finding the Fourth Proportional to 6,333.82, 9,504.82 and 3,414.16

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Solution

The fourth proportional to 6,333.82, 9,504.82 and 3,414.16 is: 5,123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.82 : 9,504.82 = 3,414.16 : x
  2. Step 2: Convert to fraction form
    6,333.82/9,504.82 = 3,414.16/x
  3. Step 3: Cross multiply
    6,333.82x = 9,504.82 × 3,414.16
  4. Step 4: Simplify right side
    6,333.82x = 32,450,976.25
  5. Step 5: Solve for x
    x = 32,450,976.25/6,333.82
  6. Step 6: Final answer
    x = 5,123.44

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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.