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Finding the Fourth Proportional to 6,940.35, 9,578.25 and 3,957.12

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Solution

The fourth proportional to 6,940.35, 9,578.25 and 3,957.12 is: 5,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.35 : 9,578.25 = 3,957.12 : x
  2. Step 2: Convert to fraction form
    6,940.35/9,578.25 = 3,957.12/x
  3. Step 3: Cross multiply
    6,940.35x = 9,578.25 × 3,957.12
  4. Step 4: Simplify right side
    6,940.35x = 37,902,284.64
  5. Step 5: Solve for x
    x = 37,902,284.64/6,940.35
  6. Step 6: Final answer
    x = 5,461.15

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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.