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Finding the Fourth Proportional to 9,433.92, 14,121.68 and 8,034.24

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Solution

The fourth proportional to 9,433.92, 14,121.68 and 8,034.24 is: 12,026.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433.92 : 14,121.68 = 8,034.24 : x
  2. Step 2: Convert to fraction form
    9,433.92/14,121.68 = 8,034.24/x
  3. Step 3: Cross multiply
    9,433.92x = 14,121.68 × 8,034.24
  4. Step 4: Simplify right side
    9,433.92x = 113,456,966.32
  5. Step 5: Solve for x
    x = 113,456,966.32/9,433.92
  6. Step 6: Final answer
    x = 12,026.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.