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Finding the Fourth Proportional to 6,164.47, 9,234.49 and 2,873.04

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Solution

The fourth proportional to 6,164.47, 9,234.49 and 2,873.04 is: 4,303.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.47 : 9,234.49 = 2,873.04 : x
  2. Step 2: Convert to fraction form
    6,164.47/9,234.49 = 2,873.04/x
  3. Step 3: Cross multiply
    6,164.47x = 9,234.49 × 2,873.04
  4. Step 4: Simplify right side
    6,164.47x = 26,530,998.61
  5. Step 5: Solve for x
    x = 26,530,998.61/6,164.47
  6. Step 6: Final answer
    x = 4,303.86

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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.