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Finding the Fourth Proportional to 6,293.43, 9,436.50 and 3,664.17

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Solution

The fourth proportional to 6,293.43, 9,436.50 and 3,664.17 is: 5,494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.43 : 9,436.50 = 3,664.17 : x
  2. Step 2: Convert to fraction form
    6,293.43/9,436.50 = 3,664.17/x
  3. Step 3: Cross multiply
    6,293.43x = 9,436.50 × 3,664.17
  4. Step 4: Simplify right side
    6,293.43x = 34,576,940.21
  5. Step 5: Solve for x
    x = 34,576,940.21/6,293.43
  6. Step 6: Final answer
    x = 5,494.13

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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.