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Finding the Fourth Proportional to 9,213.66, 12,715.20 and 5,234.94

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Solution

The fourth proportional to 9,213.66, 12,715.20 and 5,234.94 is: 7,224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.66 : 12,715.20 = 5,234.94 : x
  2. Step 2: Convert to fraction form
    9,213.66/12,715.20 = 5,234.94/x
  3. Step 3: Cross multiply
    9,213.66x = 12,715.20 × 5,234.94
  4. Step 4: Simplify right side
    9,213.66x = 66,563,309.09
  5. Step 5: Solve for x
    x = 66,563,309.09/9,213.66
  6. Step 6: Final answer
    x = 7,224.42

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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.