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Finding the Fourth Proportional to 6,680.91, 9,219.33 and 3,696.69

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Solution

The fourth proportional to 6,680.91, 9,219.33 and 3,696.69 is: 5,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.91 : 9,219.33 = 3,696.69 : x
  2. Step 2: Convert to fraction form
    6,680.91/9,219.33 = 3,696.69/x
  3. Step 3: Cross multiply
    6,680.91x = 9,219.33 × 3,696.69
  4. Step 4: Simplify right side
    6,680.91x = 34,081,005.02
  5. Step 5: Solve for x
    x = 34,081,005.02/6,680.91
  6. Step 6: Final answer
    x = 5,101.25

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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.