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Finding the Fourth Proportional to 9,872.82, 14,780.34 and 5,181.66

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Solution

The fourth proportional to 9,872.82, 14,780.34 and 5,181.66 is: 7,757.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.82 : 14,780.34 = 5,181.66 : x
  2. Step 2: Convert to fraction form
    9,872.82/14,780.34 = 5,181.66/x
  3. Step 3: Cross multiply
    9,872.82x = 14,780.34 × 5,181.66
  4. Step 4: Simplify right side
    9,872.82x = 76,586,696.56
  5. Step 5: Solve for x
    x = 76,586,696.56/9,872.82
  6. Step 6: Final answer
    x = 7,757.33

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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.