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Finding the Fourth Proportional to 6,344.96, 9,507.38 and 4,257.27

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Solution

The fourth proportional to 6,344.96, 9,507.38 and 4,257.27 is: 6,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.96 : 9,507.38 = 4,257.27 : x
  2. Step 2: Convert to fraction form
    6,344.96/9,507.38 = 4,257.27/x
  3. Step 3: Cross multiply
    6,344.96x = 9,507.38 × 4,257.27
  4. Step 4: Simplify right side
    6,344.96x = 40,475,462.37
  5. Step 5: Solve for x
    x = 40,475,462.37/6,344.96
  6. Step 6: Final answer
    x = 6,379.16

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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.