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Finding the Fourth Proportional to 6,343.62, 9,467.25 and 6,196.20

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Solution

The fourth proportional to 6,343.62, 9,467.25 and 6,196.20 is: 9,247.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.62 : 9,467.25 = 6,196.20 : x
  2. Step 2: Convert to fraction form
    6,343.62/9,467.25 = 6,196.20/x
  3. Step 3: Cross multiply
    6,343.62x = 9,467.25 × 6,196.20
  4. Step 4: Simplify right side
    6,343.62x = 58,660,974.45
  5. Step 5: Solve for x
    x = 58,660,974.45/6,343.62
  6. Step 6: Final answer
    x = 9,247.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.