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Finding the Fourth Proportional to 6,349.14, 9,523.74 and 1,966.62

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Solution

The fourth proportional to 6,349.14, 9,523.74 and 1,966.62 is: 2,949.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.14 : 9,523.74 = 1,966.62 : x
  2. Step 2: Convert to fraction form
    6,349.14/9,523.74 = 1,966.62/x
  3. Step 3: Cross multiply
    6,349.14x = 9,523.74 × 1,966.62
  4. Step 4: Simplify right side
    6,349.14x = 18,729,577.56
  5. Step 5: Solve for x
    x = 18,729,577.56/6,349.14
  6. Step 6: Final answer
    x = 2,949.94

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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.