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Finding the Fourth Proportional to 9,213.01, 12,714.30 and 5,234.80

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Solution

The fourth proportional to 9,213.01, 12,714.30 and 5,234.80 is: 7,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.01 : 12,714.30 = 5,234.80 : x
  2. Step 2: Convert to fraction form
    9,213.01/12,714.30 = 5,234.80/x
  3. Step 3: Cross multiply
    9,213.01x = 12,714.30 × 5,234.80
  4. Step 4: Simplify right side
    9,213.01x = 66,556,727.89
  5. Step 5: Solve for x
    x = 66,556,727.89/9,213.01
  6. Step 6: Final answer
    x = 7,224.21

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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.