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Finding the Fourth Proportional to 6,287.27, 9,426.24 and 3,164.99

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Solution

The fourth proportional to 6,287.27, 9,426.24 and 3,164.99 is: 4,745.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.27 : 9,426.24 = 3,164.99 : x
  2. Step 2: Convert to fraction form
    6,287.27/9,426.24 = 3,164.99/x
  3. Step 3: Cross multiply
    6,287.27x = 9,426.24 × 3,164.99
  4. Step 4: Simplify right side
    6,287.27x = 29,833,908.21
  5. Step 5: Solve for x
    x = 29,833,908.21/6,287.27
  6. Step 6: Final answer
    x = 4,745.13

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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.