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Finding the Fourth Proportional to 6,696.27, 9,240.81 and 3,712.10

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Solution

The fourth proportional to 6,696.27, 9,240.81 and 3,712.10 is: 5,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.27 : 9,240.81 = 3,712.10 : x
  2. Step 2: Convert to fraction form
    6,696.27/9,240.81 = 3,712.10/x
  3. Step 3: Cross multiply
    6,696.27x = 9,240.81 × 3,712.10
  4. Step 4: Simplify right side
    6,696.27x = 34,302,839.09
  5. Step 5: Solve for x
    x = 34,302,839.09/6,696.27
  6. Step 6: Final answer
    x = 5,122.68

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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.