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Finding the Fourth Proportional to 7,137.25, 9,849.41 and 3,994.18

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Solution

The fourth proportional to 7,137.25, 9,849.41 and 3,994.18 is: 5,511.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.25 : 9,849.41 = 3,994.18 : x
  2. Step 2: Convert to fraction form
    7,137.25/9,849.41 = 3,994.18/x
  3. Step 3: Cross multiply
    7,137.25x = 9,849.41 × 3,994.18
  4. Step 4: Simplify right side
    7,137.25x = 39,340,316.43
  5. Step 5: Solve for x
    x = 39,340,316.43/7,137.25
  6. Step 6: Final answer
    x = 5,511.97

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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.