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Finding the Fourth Proportional to 6,696.14, 9,241.34 and 3,712.10

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Solution

The fourth proportional to 6,696.14, 9,241.34 and 3,712.10 is: 5,123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.14 : 9,241.34 = 3,712.10 : x
  2. Step 2: Convert to fraction form
    6,696.14/9,241.34 = 3,712.10/x
  3. Step 3: Cross multiply
    6,696.14x = 9,241.34 × 3,712.10
  4. Step 4: Simplify right side
    6,696.14x = 34,304,713.45
  5. Step 5: Solve for x
    x = 34,304,713.45/6,696.14
  6. Step 6: Final answer
    x = 5,123.06

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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.