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Finding the Fourth Proportional to 6,940.49, 10,414.16 and 3,242.98

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Solution

The fourth proportional to 6,940.49, 10,414.16 and 3,242.98 is: 4,866.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.49 : 10,414.16 = 3,242.98 : x
  2. Step 2: Convert to fraction form
    6,940.49/10,414.16 = 3,242.98/x
  3. Step 3: Cross multiply
    6,940.49x = 10,414.16 × 3,242.98
  4. Step 4: Simplify right side
    6,940.49x = 33,772,844.31
  5. Step 5: Solve for x
    x = 33,772,844.31/6,940.49
  6. Step 6: Final answer
    x = 4,866.06

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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.