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Finding the Fourth Proportional to 6,311.69, 9,467.54 and 3,408.45

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Solution

The fourth proportional to 6,311.69, 9,467.54 and 3,408.45 is: 5,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.69 : 9,467.54 = 3,408.45 : x
  2. Step 2: Convert to fraction form
    6,311.69/9,467.54 = 3,408.45/x
  3. Step 3: Cross multiply
    6,311.69x = 9,467.54 × 3,408.45
  4. Step 4: Simplify right side
    6,311.69x = 32,269,619.67
  5. Step 5: Solve for x
    x = 32,269,619.67/6,311.69
  6. Step 6: Final answer
    x = 5,112.68

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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.