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Finding the Fourth Proportional to 9,589.16, 13,234.88 and 5,814.39

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Solution

The fourth proportional to 9,589.16, 13,234.88 and 5,814.39 is: 8,024.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.16 : 13,234.88 = 5,814.39 : x
  2. Step 2: Convert to fraction form
    9,589.16/13,234.88 = 5,814.39/x
  3. Step 3: Cross multiply
    9,589.16x = 13,234.88 × 5,814.39
  4. Step 4: Simplify right side
    9,589.16x = 76,952,753.92
  5. Step 5: Solve for x
    x = 76,952,753.92/9,589.16
  6. Step 6: Final answer
    x = 8,024.97

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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.