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Finding the Fourth Proportional to 9,121.85, 13,684.59 and 2,882.44

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Solution

The fourth proportional to 9,121.85, 13,684.59 and 2,882.44 is: 4,324.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121.85 : 13,684.59 = 2,882.44 : x
  2. Step 2: Convert to fraction form
    9,121.85/13,684.59 = 2,882.44/x
  3. Step 3: Cross multiply
    9,121.85x = 13,684.59 × 2,882.44
  4. Step 4: Simplify right side
    9,121.85x = 39,444,975.39
  5. Step 5: Solve for x
    x = 39,444,975.39/9,121.85
  6. Step 6: Final answer
    x = 4,324.23

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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.