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Finding the Fourth Proportional to 9,213.41, 12,704.46 and 6,224.06

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Solution

The fourth proportional to 9,213.41, 12,704.46 and 6,224.06 is: 8,582.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.41 : 12,704.46 = 6,224.06 : x
  2. Step 2: Convert to fraction form
    9,213.41/12,704.46 = 6,224.06/x
  3. Step 3: Cross multiply
    9,213.41x = 12,704.46 × 6,224.06
  4. Step 4: Simplify right side
    9,213.41x = 79,073,293.28
  5. Step 5: Solve for x
    x = 79,073,293.28/9,213.41
  6. Step 6: Final answer
    x = 8,582.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.