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Finding the Fourth Proportional to 6,684.54, 9,226.70 and 3,996.87

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Solution

The fourth proportional to 6,684.54, 9,226.70 and 3,996.87 is: 5,516.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.54 : 9,226.70 = 3,996.87 : x
  2. Step 2: Convert to fraction form
    6,684.54/9,226.70 = 3,996.87/x
  3. Step 3: Cross multiply
    6,684.54x = 9,226.70 × 3,996.87
  4. Step 4: Simplify right side
    6,684.54x = 36,877,920.43
  5. Step 5: Solve for x
    x = 36,877,920.43/6,684.54
  6. Step 6: Final answer
    x = 5,516.90

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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.