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Finding the Fourth Proportional to 7,161.84, 9,882.27 and 4,017.42

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Solution

The fourth proportional to 7,161.84, 9,882.27 and 4,017.42 is: 5,543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.84 : 9,882.27 = 4,017.42 : x
  2. Step 2: Convert to fraction form
    7,161.84/9,882.27 = 4,017.42/x
  3. Step 3: Cross multiply
    7,161.84x = 9,882.27 × 4,017.42
  4. Step 4: Simplify right side
    7,161.84x = 39,701,229.14
  5. Step 5: Solve for x
    x = 39,701,229.14/7,161.84
  6. Step 6: Final answer
    x = 5,543.44

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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.