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Finding the Fourth Proportional to 9,121.87, 13,682.81 and 3,274.28

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Solution

The fourth proportional to 9,121.87, 13,682.81 and 3,274.28 is: 4,911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121.87 : 13,682.81 = 3,274.28 : x
  2. Step 2: Convert to fraction form
    9,121.87/13,682.81 = 3,274.28/x
  3. Step 3: Cross multiply
    9,121.87x = 13,682.81 × 3,274.28
  4. Step 4: Simplify right side
    9,121.87x = 44,801,351.13
  5. Step 5: Solve for x
    x = 44,801,351.13/9,121.87
  6. Step 6: Final answer
    x = 4,911.42

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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.