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Finding the Fourth Proportional to 6,626.25, 9,942.78 and 3,664.14

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Solution

The fourth proportional to 6,626.25, 9,942.78 and 3,664.14 is: 5,498.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.25 : 9,942.78 = 3,664.14 : x
  2. Step 2: Convert to fraction form
    6,626.25/9,942.78 = 3,664.14/x
  3. Step 3: Cross multiply
    6,626.25x = 9,942.78 × 3,664.14
  4. Step 4: Simplify right side
    6,626.25x = 36,431,737.91
  5. Step 5: Solve for x
    x = 36,431,737.91/6,626.25
  6. Step 6: Final answer
    x = 5,498.09

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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.