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Finding the Fourth Proportional to 7,137.97, 9,850.67 and 3,994.18

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Solution

The fourth proportional to 7,137.97, 9,850.67 and 3,994.18 is: 5,512.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.97 : 9,850.67 = 3,994.18 : x
  2. Step 2: Convert to fraction form
    7,137.97/9,850.67 = 3,994.18/x
  3. Step 3: Cross multiply
    7,137.97x = 9,850.67 × 3,994.18
  4. Step 4: Simplify right side
    7,137.97x = 39,345,349.10
  5. Step 5: Solve for x
    x = 39,345,349.10/7,137.97
  6. Step 6: Final answer
    x = 5,512.12

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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.