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Finding the Fourth Proportional to 6,349.97, 9,528.56 and 3,428.21

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Solution

The fourth proportional to 6,349.97, 9,528.56 and 3,428.21 is: 5,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.97 : 9,528.56 = 3,428.21 : x
  2. Step 2: Convert to fraction form
    6,349.97/9,528.56 = 3,428.21/x
  3. Step 3: Cross multiply
    6,349.97x = 9,528.56 × 3,428.21
  4. Step 4: Simplify right side
    6,349.97x = 32,665,904.68
  5. Step 5: Solve for x
    x = 32,665,904.68/6,349.97
  6. Step 6: Final answer
    x = 5,144.26

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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.