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Finding the Fourth Proportional to 6,493.29, 9,723.06 and 5,450.82

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Solution

The fourth proportional to 6,493.29, 9,723.06 and 5,450.82 is: 8,162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.29 : 9,723.06 = 5,450.82 : x
  2. Step 2: Convert to fraction form
    6,493.29/9,723.06 = 5,450.82/x
  3. Step 3: Cross multiply
    6,493.29x = 9,723.06 × 5,450.82
  4. Step 4: Simplify right side
    6,493.29x = 52,998,649.91
  5. Step 5: Solve for x
    x = 52,998,649.91/6,493.29
  6. Step 6: Final answer
    x = 8,162.06

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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.