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Finding the Fourth Proportional to 7,137.84, 9,850.35 and 3,994.02

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Solution

The fourth proportional to 7,137.84, 9,850.35 and 3,994.02 is: 5,511.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.84 : 9,850.35 = 3,994.02 : x
  2. Step 2: Convert to fraction form
    7,137.84/9,850.35 = 3,994.02/x
  3. Step 3: Cross multiply
    7,137.84x = 9,850.35 × 3,994.02
  4. Step 4: Simplify right side
    7,137.84x = 39,342,494.91
  5. Step 5: Solve for x
    x = 39,342,494.91/7,137.84
  6. Step 6: Final answer
    x = 5,511.82

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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.