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Finding the Fourth Proportional to 6,662.93, 9,198.16 and 4,145.85

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Solution

The fourth proportional to 6,662.93, 9,198.16 and 4,145.85 is: 5,723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.93 : 9,198.16 = 4,145.85 : x
  2. Step 2: Convert to fraction form
    6,662.93/9,198.16 = 4,145.85/x
  3. Step 3: Cross multiply
    6,662.93x = 9,198.16 × 4,145.85
  4. Step 4: Simplify right side
    6,662.93x = 38,134,181.27
  5. Step 5: Solve for x
    x = 38,134,181.27/6,662.93
  6. Step 6: Final answer
    x = 5,723.34

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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.