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Finding the Fourth Proportional to 6,166.08, 9,249.84 and 5,685.12

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Solution

The fourth proportional to 6,166.08, 9,249.84 and 5,685.12 is: 8,528.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.08 : 9,249.84 = 5,685.12 : x
  2. Step 2: Convert to fraction form
    6,166.08/9,249.84 = 5,685.12/x
  3. Step 3: Cross multiply
    6,166.08x = 9,249.84 × 5,685.12
  4. Step 4: Simplify right side
    6,166.08x = 52,586,450.38
  5. Step 5: Solve for x
    x = 52,586,450.38/6,166.08
  6. Step 6: Final answer
    x = 8,528.34

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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.