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Finding the Fourth Proportional to 6,688.49, 9,229.91 and 3,855.87

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Solution

The fourth proportional to 6,688.49, 9,229.91 and 3,855.87 is: 5,320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.49 : 9,229.91 = 3,855.87 : x
  2. Step 2: Convert to fraction form
    6,688.49/9,229.91 = 3,855.87/x
  3. Step 3: Cross multiply
    6,688.49x = 9,229.91 × 3,855.87
  4. Step 4: Simplify right side
    6,688.49x = 35,589,313.79
  5. Step 5: Solve for x
    x = 35,589,313.79/6,688.49
  6. Step 6: Final answer
    x = 5,320.98

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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.