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Finding the Fourth Proportional to 6,696.16, 9,239.86 and 3,711.97

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Solution

The fourth proportional to 6,696.16, 9,239.86 and 3,711.97 is: 5,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.16 : 9,239.86 = 3,711.97 : x
  2. Step 2: Convert to fraction form
    6,696.16/9,239.86 = 3,711.97/x
  3. Step 3: Cross multiply
    6,696.16x = 9,239.86 × 3,711.97
  4. Step 4: Simplify right side
    6,696.16x = 34,298,078.43
  5. Step 5: Solve for x
    x = 34,298,078.43/6,696.16
  6. Step 6: Final answer
    x = 5,122.05

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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.