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Finding the Fourth Proportional to 9,212.30, 12,714 and 6,234.20

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Solution

The fourth proportional to 9,212.30, 12,714 and 6,234.20 is: 8,603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.30 : 12,714 = 6,234.20 : x
  2. Step 2: Convert to fraction form
    9,212.30/12,714 = 6,234.20/x
  3. Step 3: Cross multiply
    9,212.30x = 12,714 × 6,234.20
  4. Step 4: Simplify right side
    9,212.30x = 79,261,618.80
  5. Step 5: Solve for x
    x = 79,261,618.80/9,212.30
  6. Step 6: Final answer
    x = 8,603.89

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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.