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Finding the Fourth Proportional to 6,523.84, 9,786.96 and 2,141.56

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Solution

The fourth proportional to 6,523.84, 9,786.96 and 2,141.56 is: 3,212.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.84 : 9,786.96 = 2,141.56 : x
  2. Step 2: Convert to fraction form
    6,523.84/9,786.96 = 2,141.56/x
  3. Step 3: Cross multiply
    6,523.84x = 9,786.96 × 2,141.56
  4. Step 4: Simplify right side
    6,523.84x = 20,959,362.06
  5. Step 5: Solve for x
    x = 20,959,362.06/6,523.84
  6. Step 6: Final answer
    x = 3,212.73

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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.