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Finding the Fourth Proportional to 6,164.64, 9,245.79 and 2,004.66

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Solution

The fourth proportional to 6,164.64, 9,245.79 and 2,004.66 is: 3,006.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.64 : 9,245.79 = 2,004.66 : x
  2. Step 2: Convert to fraction form
    6,164.64/9,245.79 = 2,004.66/x
  3. Step 3: Cross multiply
    6,164.64x = 9,245.79 × 2,004.66
  4. Step 4: Simplify right side
    6,164.64x = 18,534,665.38
  5. Step 5: Solve for x
    x = 18,534,665.38/6,164.64
  6. Step 6: Final answer
    x = 3,006.61

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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.