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Finding the Fourth Proportional to 6,165.66, 9,249.99 and 2,006.10

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Solution

The fourth proportional to 6,165.66, 9,249.99 and 2,006.10 is: 3,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.66 : 9,249.99 = 2,006.10 : x
  2. Step 2: Convert to fraction form
    6,165.66/9,249.99 = 2,006.10/x
  3. Step 3: Cross multiply
    6,165.66x = 9,249.99 × 2,006.10
  4. Step 4: Simplify right side
    6,165.66x = 18,556,404.94
  5. Step 5: Solve for x
    x = 18,556,404.94/6,165.66
  6. Step 6: Final answer
    x = 3,009.64

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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.