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Finding the Fourth Proportional to 6,322.86, 9,481.86 and 4,369.14

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Solution

The fourth proportional to 6,322.86, 9,481.86 and 4,369.14 is: 6,552.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.86 : 9,481.86 = 4,369.14 : x
  2. Step 2: Convert to fraction form
    6,322.86/9,481.86 = 4,369.14/x
  3. Step 3: Cross multiply
    6,322.86x = 9,481.86 × 4,369.14
  4. Step 4: Simplify right side
    6,322.86x = 41,427,573.80
  5. Step 5: Solve for x
    x = 41,427,573.80/6,322.86
  6. Step 6: Final answer
    x = 6,552.03

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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.