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Finding the Fourth Proportional to 9,216.38, 12,714.56 and 6,231.13

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Solution

The fourth proportional to 9,216.38, 12,714.56 and 6,231.13 is: 8,596.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.38 : 12,714.56 = 6,231.13 : x
  2. Step 2: Convert to fraction form
    9,216.38/12,714.56 = 6,231.13/x
  3. Step 3: Cross multiply
    9,216.38x = 12,714.56 × 6,231.13
  4. Step 4: Simplify right side
    9,216.38x = 79,226,076.25
  5. Step 5: Solve for x
    x = 79,226,076.25/9,216.38
  6. Step 6: Final answer
    x = 8,596.23

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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.