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Finding the Fourth Proportional to 6,523.98, 9,768.57 and 4,448.05

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Solution

The fourth proportional to 6,523.98, 9,768.57 and 4,448.05 is: 6,660.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.98 : 9,768.57 = 4,448.05 : x
  2. Step 2: Convert to fraction form
    6,523.98/9,768.57 = 4,448.05/x
  3. Step 3: Cross multiply
    6,523.98x = 9,768.57 × 4,448.05
  4. Step 4: Simplify right side
    6,523.98x = 43,451,087.79
  5. Step 5: Solve for x
    x = 43,451,087.79/6,523.98
  6. Step 6: Final answer
    x = 6,660.21

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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.