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Finding the Fourth Proportional to 6,930.96, 10,396.80 and 3,467.04

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Solution

The fourth proportional to 6,930.96, 10,396.80 and 3,467.04 is: 5,200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.96 : 10,396.80 = 3,467.04 : x
  2. Step 2: Convert to fraction form
    6,930.96/10,396.80 = 3,467.04/x
  3. Step 3: Cross multiply
    6,930.96x = 10,396.80 × 3,467.04
  4. Step 4: Simplify right side
    6,930.96x = 36,046,121.47
  5. Step 5: Solve for x
    x = 36,046,121.47/6,930.96
  6. Step 6: Final answer
    x = 5,200.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.