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Finding the Fourth Proportional to 6,962.36, 9,608.09 and 3,818.54

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Solution

The fourth proportional to 6,962.36, 9,608.09 and 3,818.54 is: 5,269.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.36 : 9,608.09 = 3,818.54 : x
  2. Step 2: Convert to fraction form
    6,962.36/9,608.09 = 3,818.54/x
  3. Step 3: Cross multiply
    6,962.36x = 9,608.09 × 3,818.54
  4. Step 4: Simplify right side
    6,962.36x = 36,688,880.92
  5. Step 5: Solve for x
    x = 36,688,880.92/6,962.36
  6. Step 6: Final answer
    x = 5,269.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.