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Finding the Fourth Proportional to 9,213.34, 12,714.66 and 5,234.20

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Solution

The fourth proportional to 9,213.34, 12,714.66 and 5,234.20 is: 7,223.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.34 : 12,714.66 = 5,234.20 : x
  2. Step 2: Convert to fraction form
    9,213.34/12,714.66 = 5,234.20/x
  3. Step 3: Cross multiply
    9,213.34x = 12,714.66 × 5,234.20
  4. Step 4: Simplify right side
    9,213.34x = 66,551,073.37
  5. Step 5: Solve for x
    x = 66,551,073.37/9,213.34
  6. Step 6: Final answer
    x = 7,223.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.