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Finding the Fourth Proportional to 9,902.36, 14,855.84 and 2,882.54

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Solution

The fourth proportional to 9,902.36, 14,855.84 and 2,882.54 is: 4,324.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.36 : 14,855.84 = 2,882.54 : x
  2. Step 2: Convert to fraction form
    9,902.36/14,855.84 = 2,882.54/x
  3. Step 3: Cross multiply
    9,902.36x = 14,855.84 × 2,882.54
  4. Step 4: Simplify right side
    9,902.36x = 42,822,553.03
  5. Step 5: Solve for x
    x = 42,822,553.03/9,902.36
  6. Step 6: Final answer
    x = 4,324.48

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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.