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Finding the Fourth Proportional to 6,398.68, 9,599.38 and 3,626.68

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Solution

The fourth proportional to 6,398.68, 9,599.38 and 3,626.68 is: 5,440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.68 : 9,599.38 = 3,626.68 : x
  2. Step 2: Convert to fraction form
    6,398.68/9,599.38 = 3,626.68/x
  3. Step 3: Cross multiply
    6,398.68x = 9,599.38 × 3,626.68
  4. Step 4: Simplify right side
    6,398.68x = 34,813,879.46
  5. Step 5: Solve for x
    x = 34,813,879.46/6,398.68
  6. Step 6: Final answer
    x = 5,440.79

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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.