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Finding the Fourth Proportional to 6,398.38, 9,596.62 and 2,016.91

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Solution

The fourth proportional to 6,398.38, 9,596.62 and 2,016.91 is: 3,025.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.38 : 9,596.62 = 2,016.91 : x
  2. Step 2: Convert to fraction form
    6,398.38/9,596.62 = 2,016.91/x
  3. Step 3: Cross multiply
    6,398.38x = 9,596.62 × 2,016.91
  4. Step 4: Simplify right side
    6,398.38x = 19,355,460.78
  5. Step 5: Solve for x
    x = 19,355,460.78/6,398.38
  6. Step 6: Final answer
    x = 3,025.06

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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.