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Finding the Fourth Proportional to 9,213.48, 12,714.15 and 5,234.07

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Solution

The fourth proportional to 9,213.48, 12,714.15 and 5,234.07 is: 7,222.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.48 : 12,714.15 = 5,234.07 : x
  2. Step 2: Convert to fraction form
    9,213.48/12,714.15 = 5,234.07/x
  3. Step 3: Cross multiply
    9,213.48x = 12,714.15 × 5,234.07
  4. Step 4: Simplify right side
    9,213.48x = 66,546,751.09
  5. Step 5: Solve for x
    x = 66,546,751.09/9,213.48
  6. Step 6: Final answer
    x = 7,222.76

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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.