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Finding the Fourth Proportional to 6,940.08, 9,575.42 and 3,954.83

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Solution

The fourth proportional to 6,940.08, 9,575.42 and 3,954.83 is: 5,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.08 : 9,575.42 = 3,954.83 : x
  2. Step 2: Convert to fraction form
    6,940.08/9,575.42 = 3,954.83/x
  3. Step 3: Cross multiply
    6,940.08x = 9,575.42 × 3,954.83
  4. Step 4: Simplify right side
    6,940.08x = 37,869,090.63
  5. Step 5: Solve for x
    x = 37,869,090.63/6,940.08
  6. Step 6: Final answer
    x = 5,456.58

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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.