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Finding the Fourth Proportional to 6,213.29, 9,323.17 and 2,518.25

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Solution

The fourth proportional to 6,213.29, 9,323.17 and 2,518.25 is: 3,778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.29 : 9,323.17 = 2,518.25 : x
  2. Step 2: Convert to fraction form
    6,213.29/9,323.17 = 2,518.25/x
  3. Step 3: Cross multiply
    6,213.29x = 9,323.17 × 2,518.25
  4. Step 4: Simplify right side
    6,213.29x = 23,478,019.94
  5. Step 5: Solve for x
    x = 23,478,019.94/6,213.29
  6. Step 6: Final answer
    x = 3,778.68

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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.