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Finding the Fourth Proportional to 6,213.94, 9,323.92 and 3,094.22

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Solution

The fourth proportional to 6,213.94, 9,323.92 and 3,094.22 is: 4,642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.94 : 9,323.92 = 3,094.22 : x
  2. Step 2: Convert to fraction form
    6,213.94/9,323.92 = 3,094.22/x
  3. Step 3: Cross multiply
    6,213.94x = 9,323.92 × 3,094.22
  4. Step 4: Simplify right side
    6,213.94x = 28,850,259.74
  5. Step 5: Solve for x
    x = 28,850,259.74/6,213.94
  6. Step 6: Final answer
    x = 4,642.83

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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.