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Finding the Fourth Proportional to 9,367.43, 12,929.76 and 6,183.05

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Solution

The fourth proportional to 9,367.43, 12,929.76 and 6,183.05 is: 8,534.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.43 : 12,929.76 = 6,183.05 : x
  2. Step 2: Convert to fraction form
    9,367.43/12,929.76 = 6,183.05/x
  3. Step 3: Cross multiply
    9,367.43x = 12,929.76 × 6,183.05
  4. Step 4: Simplify right side
    9,367.43x = 79,945,287.92
  5. Step 5: Solve for x
    x = 79,945,287.92/9,367.43
  6. Step 6: Final answer
    x = 8,534.39

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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.