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Finding the Fourth Proportional to 6,400.08, 9,593.64 and 4,314.96

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Solution

The fourth proportional to 6,400.08, 9,593.64 and 4,314.96 is: 6,468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.08 : 9,593.64 = 4,314.96 : x
  2. Step 2: Convert to fraction form
    6,400.08/9,593.64 = 4,314.96/x
  3. Step 3: Cross multiply
    6,400.08x = 9,593.64 × 4,314.96
  4. Step 4: Simplify right side
    6,400.08x = 41,396,172.85
  5. Step 5: Solve for x
    x = 41,396,172.85/6,400.08
  6. Step 6: Final answer
    x = 6,468.07

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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.