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Finding the Fourth Proportional to 6,696.05, 9,241.10 and 3,712.82

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Solution

The fourth proportional to 6,696.05, 9,241.10 and 3,712.82 is: 5,123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.05 : 9,241.10 = 3,712.82 : x
  2. Step 2: Convert to fraction form
    6,696.05/9,241.10 = 3,712.82/x
  3. Step 3: Cross multiply
    6,696.05x = 9,241.10 × 3,712.82
  4. Step 4: Simplify right side
    6,696.05x = 34,310,522.34
  5. Step 5: Solve for x
    x = 34,310,522.34/6,696.05
  6. Step 6: Final answer
    x = 5,123.99

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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.