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Finding the Fourth Proportional to 6,428.56, 9,643.16 and 3,144.40

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Solution

The fourth proportional to 6,428.56, 9,643.16 and 3,144.40 is: 4,716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.56 : 9,643.16 = 3,144.40 : x
  2. Step 2: Convert to fraction form
    6,428.56/9,643.16 = 3,144.40/x
  3. Step 3: Cross multiply
    6,428.56x = 9,643.16 × 3,144.40
  4. Step 4: Simplify right side
    6,428.56x = 30,321,952.30
  5. Step 5: Solve for x
    x = 30,321,952.30/6,428.56
  6. Step 6: Final answer
    x = 4,716.76

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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.