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Finding the Fourth Proportional to 6,450.56, 9,687.34 and 5,282.78

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Solution

The fourth proportional to 6,450.56, 9,687.34 and 5,282.78 is: 7,933.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.56 : 9,687.34 = 5,282.78 : x
  2. Step 2: Convert to fraction form
    6,450.56/9,687.34 = 5,282.78/x
  3. Step 3: Cross multiply
    6,450.56x = 9,687.34 × 5,282.78
  4. Step 4: Simplify right side
    6,450.56x = 51,176,086.01
  5. Step 5: Solve for x
    x = 51,176,086.01/6,450.56
  6. Step 6: Final answer
    x = 7,933.59

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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.