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Finding the Fourth Proportional to 6,942.41, 9,580.38 and 3,957.96

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Solution

The fourth proportional to 6,942.41, 9,580.38 and 3,957.96 is: 5,461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.41 : 9,580.38 = 3,957.96 : x
  2. Step 2: Convert to fraction form
    6,942.41/9,580.38 = 3,957.96/x
  3. Step 3: Cross multiply
    6,942.41x = 9,580.38 × 3,957.96
  4. Step 4: Simplify right side
    6,942.41x = 37,918,781.91
  5. Step 5: Solve for x
    x = 37,918,781.91/6,942.41
  6. Step 6: Final answer
    x = 5,461.91

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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.