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Finding the Fourth Proportional to 7,138.14, 9,850.67 and 3,994.13

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Solution

The fourth proportional to 7,138.14, 9,850.67 and 3,994.13 is: 5,511.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.14 : 9,850.67 = 3,994.13 : x
  2. Step 2: Convert to fraction form
    7,138.14/9,850.67 = 3,994.13/x
  3. Step 3: Cross multiply
    7,138.14x = 9,850.67 × 3,994.13
  4. Step 4: Simplify right side
    7,138.14x = 39,344,787.34
  5. Step 5: Solve for x
    x = 39,344,787.34/7,138.14
  6. Step 6: Final answer
    x = 5,511.91

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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.