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Finding the Fourth Proportional to 6,680.26, 9,218.50 and 3,696.22

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Solution

The fourth proportional to 6,680.26, 9,218.50 and 3,696.22 is: 5,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.26 : 9,218.50 = 3,696.22 : x
  2. Step 2: Convert to fraction form
    6,680.26/9,218.50 = 3,696.22/x
  3. Step 3: Cross multiply
    6,680.26x = 9,218.50 × 3,696.22
  4. Step 4: Simplify right side
    6,680.26x = 34,073,604.07
  5. Step 5: Solve for x
    x = 34,073,604.07/6,680.26
  6. Step 6: Final answer
    x = 5,100.64

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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.