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Finding the Fourth Proportional to 6,411.38, 9,608.70 and 3,639.29

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Solution

The fourth proportional to 6,411.38, 9,608.70 and 3,639.29 is: 5,454.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.38 : 9,608.70 = 3,639.29 : x
  2. Step 2: Convert to fraction form
    6,411.38/9,608.70 = 3,639.29/x
  3. Step 3: Cross multiply
    6,411.38x = 9,608.70 × 3,639.29
  4. Step 4: Simplify right side
    6,411.38x = 34,968,845.82
  5. Step 5: Solve for x
    x = 34,968,845.82/6,411.38
  6. Step 6: Final answer
    x = 5,454.18

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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.