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Finding the Fourth Proportional to 6,469.84, 9,704.96 and 2,087.32

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Solution

The fourth proportional to 6,469.84, 9,704.96 and 2,087.32 is: 3,131.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.84 : 9,704.96 = 2,087.32 : x
  2. Step 2: Convert to fraction form
    6,469.84/9,704.96 = 2,087.32/x
  3. Step 3: Cross multiply
    6,469.84x = 9,704.96 × 2,087.32
  4. Step 4: Simplify right side
    6,469.84x = 20,257,357.11
  5. Step 5: Solve for x
    x = 20,257,357.11/6,469.84
  6. Step 6: Final answer
    x = 3,131.04

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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.