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Finding the Fourth Proportional to 9,638.25, 14,451.84 and 3,791.67

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Solution

The fourth proportional to 9,638.25, 14,451.84 and 3,791.67 is: 5,685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.25 : 14,451.84 = 3,791.67 : x
  2. Step 2: Convert to fraction form
    9,638.25/14,451.84 = 3,791.67/x
  3. Step 3: Cross multiply
    9,638.25x = 14,451.84 × 3,791.67
  4. Step 4: Simplify right side
    9,638.25x = 54,796,608.17
  5. Step 5: Solve for x
    x = 54,796,608.17/9,638.25
  6. Step 6: Final answer
    x = 5,685.33

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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.