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Finding the Fourth Proportional to 6,966.49, 10,431.90 and 3,843.03

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Solution

The fourth proportional to 6,966.49, 10,431.90 and 3,843.03 is: 5,754.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.49 : 10,431.90 = 3,843.03 : x
  2. Step 2: Convert to fraction form
    6,966.49/10,431.90 = 3,843.03/x
  3. Step 3: Cross multiply
    6,966.49x = 10,431.90 × 3,843.03
  4. Step 4: Simplify right side
    6,966.49x = 40,090,033.28
  5. Step 5: Solve for x
    x = 40,090,033.28/6,966.49
  6. Step 6: Final answer
    x = 5,754.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.