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Finding the Fourth Proportional to 6,593.82, 9,099.18 and 3,609.78

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Solution

The fourth proportional to 6,593.82, 9,099.18 and 3,609.78 is: 4,981.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.82 : 9,099.18 = 3,609.78 : x
  2. Step 2: Convert to fraction form
    6,593.82/9,099.18 = 3,609.78/x
  3. Step 3: Cross multiply
    6,593.82x = 9,099.18 × 3,609.78
  4. Step 4: Simplify right side
    6,593.82x = 32,846,037.98
  5. Step 5: Solve for x
    x = 32,846,037.98/6,593.82
  6. Step 6: Final answer
    x = 4,981.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.