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Finding the Fourth Proportional to 6,165.32, 9,249.16 and 2,004.98

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Solution

The fourth proportional to 6,165.32, 9,249.16 and 2,004.98 is: 3,007.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.32 : 9,249.16 = 2,004.98 : x
  2. Step 2: Convert to fraction form
    6,165.32/9,249.16 = 2,004.98/x
  3. Step 3: Cross multiply
    6,165.32x = 9,249.16 × 2,004.98
  4. Step 4: Simplify right side
    6,165.32x = 18,544,380.82
  5. Step 5: Solve for x
    x = 18,544,380.82/6,165.32
  6. Step 6: Final answer
    x = 3,007.85

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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.