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Finding the Fourth Proportional to 6,680.83, 9,219.36 and 3,696.79

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Solution

The fourth proportional to 6,680.83, 9,219.36 and 3,696.79 is: 5,101.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.83 : 9,219.36 = 3,696.79 : x
  2. Step 2: Convert to fraction form
    6,680.83/9,219.36 = 3,696.79/x
  3. Step 3: Cross multiply
    6,680.83x = 9,219.36 × 3,696.79
  4. Step 4: Simplify right side
    6,680.83x = 34,082,037.85
  5. Step 5: Solve for x
    x = 34,082,037.85/6,680.83
  6. Step 6: Final answer
    x = 5,101.47

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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.