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Finding the Fourth Proportional to 6,249.69, 9,376.98 and 5,739.39

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Solution

The fourth proportional to 6,249.69, 9,376.98 and 5,739.39 is: 8,611.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.69 : 9,376.98 = 5,739.39 : x
  2. Step 2: Convert to fraction form
    6,249.69/9,376.98 = 5,739.39/x
  3. Step 3: Cross multiply
    6,249.69x = 9,376.98 × 5,739.39
  4. Step 4: Simplify right side
    6,249.69x = 53,818,145.24
  5. Step 5: Solve for x
    x = 53,818,145.24/6,249.69
  6. Step 6: Final answer
    x = 8,611.33

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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.