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Finding the Fourth Proportional to 6,696.65, 9,241.01 and 3,712.31

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Solution

The fourth proportional to 6,696.65, 9,241.01 and 3,712.31 is: 5,122.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.65 : 9,241.01 = 3,712.31 : x
  2. Step 2: Convert to fraction form
    6,696.65/9,241.01 = 3,712.31/x
  3. Step 3: Cross multiply
    6,696.65x = 9,241.01 × 3,712.31
  4. Step 4: Simplify right side
    6,696.65x = 34,305,429.07
  5. Step 5: Solve for x
    x = 34,305,429.07/6,696.65
  6. Step 6: Final answer
    x = 5,122.78

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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.