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Finding the Fourth Proportional to 6,680.34, 9,218.88 and 3,696.17

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Solution

The fourth proportional to 6,680.34, 9,218.88 and 3,696.17 is: 5,100.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.34 : 9,218.88 = 3,696.17 : x
  2. Step 2: Convert to fraction form
    6,680.34/9,218.88 = 3,696.17/x
  3. Step 3: Cross multiply
    6,680.34x = 9,218.88 × 3,696.17
  4. Step 4: Simplify right side
    6,680.34x = 34,074,501.60
  5. Step 5: Solve for x
    x = 34,074,501.60/6,680.34
  6. Step 6: Final answer
    x = 5,100.71

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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.