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Finding the Fourth Proportional to 9,213.12, 12,714.12 and 5,234.24

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Solution

The fourth proportional to 9,213.12, 12,714.12 and 5,234.24 is: 7,223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.12 : 12,714.12 = 5,234.24 : x
  2. Step 2: Convert to fraction form
    9,213.12/12,714.12 = 5,234.24/x
  3. Step 3: Cross multiply
    9,213.12x = 12,714.12 × 5,234.24
  4. Step 4: Simplify right side
    9,213.12x = 66,548,755.47
  5. Step 5: Solve for x
    x = 66,548,755.47/9,213.12
  6. Step 6: Final answer
    x = 7,223.26

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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.