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Finding the Fourth Proportional to 9,363.16, 12,910.38 and 6,380.80

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Solution

The fourth proportional to 9,363.16, 12,910.38 and 6,380.80 is: 8,798.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,363.16 : 12,910.38 = 6,380.80 : x
  2. Step 2: Convert to fraction form
    9,363.16/12,910.38 = 6,380.80/x
  3. Step 3: Cross multiply
    9,363.16x = 12,910.38 × 6,380.80
  4. Step 4: Simplify right side
    9,363.16x = 82,378,552.70
  5. Step 5: Solve for x
    x = 82,378,552.70/9,363.16
  6. Step 6: Final answer
    x = 8,798.16

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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.