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Finding the Fourth Proportional to 6,680.84, 9,219.83 and 3,696.66

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Solution

The fourth proportional to 6,680.84, 9,219.83 and 3,696.66 is: 5,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.84 : 9,219.83 = 3,696.66 : x
  2. Step 2: Convert to fraction form
    6,680.84/9,219.83 = 3,696.66/x
  3. Step 3: Cross multiply
    6,680.84x = 9,219.83 × 3,696.66
  4. Step 4: Simplify right side
    6,680.84x = 34,082,558.28
  5. Step 5: Solve for x
    x = 34,082,558.28/6,680.84
  6. Step 6: Final answer
    x = 5,101.54

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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.