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Finding the Fourth Proportional to 6,207.49, 9,311.22 and 2,509.68

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Solution

The fourth proportional to 6,207.49, 9,311.22 and 2,509.68 is: 3,764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.49 : 9,311.22 = 2,509.68 : x
  2. Step 2: Convert to fraction form
    6,207.49/9,311.22 = 2,509.68/x
  3. Step 3: Cross multiply
    6,207.49x = 9,311.22 × 2,509.68
  4. Step 4: Simplify right side
    6,207.49x = 23,368,149.92
  5. Step 5: Solve for x
    x = 23,368,149.92/6,207.49
  6. Step 6: Final answer
    x = 3,764.51

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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.