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Finding the Fourth Proportional to 9,219.88, 12,719.38 and 6,234.64

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Solution

The fourth proportional to 9,219.88, 12,719.38 and 6,234.64 is: 8,601.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.88 : 12,719.38 = 6,234.64 : x
  2. Step 2: Convert to fraction form
    9,219.88/12,719.38 = 6,234.64/x
  3. Step 3: Cross multiply
    9,219.88x = 12,719.38 × 6,234.64
  4. Step 4: Simplify right side
    9,219.88x = 79,300,755.32
  5. Step 5: Solve for x
    x = 79,300,755.32/9,219.88
  6. Step 6: Final answer
    x = 8,601.06

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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.