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Finding the Fourth Proportional to 9,213.08, 12,714.06 and 5,234.20

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Solution

The fourth proportional to 9,213.08, 12,714.06 and 5,234.20 is: 7,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.08 : 12,714.06 = 5,234.20 : x
  2. Step 2: Convert to fraction form
    9,213.08/12,714.06 = 5,234.20/x
  3. Step 3: Cross multiply
    9,213.08x = 12,714.06 × 5,234.20
  4. Step 4: Simplify right side
    9,213.08x = 66,547,906.68
  5. Step 5: Solve for x
    x = 66,547,906.68/9,213.08
  6. Step 6: Final answer
    x = 7,223.20

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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.