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Finding the Fourth Proportional to 6,680.32, 9,218.13 and 3,695.68

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Solution

The fourth proportional to 6,680.32, 9,218.13 and 3,695.68 is: 5,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.32 : 9,218.13 = 3,695.68 : x
  2. Step 2: Convert to fraction form
    6,680.32/9,218.13 = 3,695.68/x
  3. Step 3: Cross multiply
    6,680.32x = 9,218.13 × 3,695.68
  4. Step 4: Simplify right side
    6,680.32x = 34,067,258.68
  5. Step 5: Solve for x
    x = 34,067,258.68/6,680.32
  6. Step 6: Final answer
    x = 5,099.64

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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.