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Finding the Fourth Proportional to 9,213.47, 12,715.24 and 5,234.88

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Solution

The fourth proportional to 9,213.47, 12,715.24 and 5,234.88 is: 7,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.47 : 12,715.24 = 5,234.88 : x
  2. Step 2: Convert to fraction form
    9,213.47/12,715.24 = 5,234.88/x
  3. Step 3: Cross multiply
    9,213.47x = 12,715.24 × 5,234.88
  4. Step 4: Simplify right side
    9,213.47x = 66,562,755.57
  5. Step 5: Solve for x
    x = 66,562,755.57/9,213.47
  6. Step 6: Final answer
    x = 7,224.50

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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.