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Finding the Fourth Proportional to 6,519.21, 9,760.17 and 4,323.57

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Solution

The fourth proportional to 6,519.21, 9,760.17 and 4,323.57 is: 6,472.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.21 : 9,760.17 = 4,323.57 : x
  2. Step 2: Convert to fraction form
    6,519.21/9,760.17 = 4,323.57/x
  3. Step 3: Cross multiply
    6,519.21x = 9,760.17 × 4,323.57
  4. Step 4: Simplify right side
    6,519.21x = 42,198,778.21
  5. Step 5: Solve for x
    x = 42,198,778.21/6,519.21
  6. Step 6: Final answer
    x = 6,472.99

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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.