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Finding the Fourth Proportional to 6,504.57, 9,758.41 and 2,122.03

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Solution

The fourth proportional to 6,504.57, 9,758.41 and 2,122.03 is: 3,183.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.57 : 9,758.41 = 2,122.03 : x
  2. Step 2: Convert to fraction form
    6,504.57/9,758.41 = 2,122.03/x
  3. Step 3: Cross multiply
    6,504.57x = 9,758.41 × 2,122.03
  4. Step 4: Simplify right side
    6,504.57x = 20,707,645.67
  5. Step 5: Solve for x
    x = 20,707,645.67/6,504.57
  6. Step 6: Final answer
    x = 3,183.55

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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.