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Finding the Fourth Proportional to 6,683.70, 9,223.44 and 3,996.15

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Solution

The fourth proportional to 6,683.70, 9,223.44 and 3,996.15 is: 5,514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.70 : 9,223.44 = 3,996.15 : x
  2. Step 2: Convert to fraction form
    6,683.70/9,223.44 = 3,996.15/x
  3. Step 3: Cross multiply
    6,683.70x = 9,223.44 × 3,996.15
  4. Step 4: Simplify right side
    6,683.70x = 36,858,249.76
  5. Step 5: Solve for x
    x = 36,858,249.76/6,683.70
  6. Step 6: Final answer
    x = 5,514.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.