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Finding the Fourth Proportional to 9,209.92, 12,709.25 and 5,230.49

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Solution

The fourth proportional to 9,209.92, 12,709.25 and 5,230.49 is: 7,217.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.92 : 12,709.25 = 5,230.49 : x
  2. Step 2: Convert to fraction form
    9,209.92/12,709.25 = 5,230.49/x
  3. Step 3: Cross multiply
    9,209.92x = 12,709.25 × 5,230.49
  4. Step 4: Simplify right side
    9,209.92x = 66,475,605.03
  5. Step 5: Solve for x
    x = 66,475,605.03/9,209.92
  6. Step 6: Final answer
    x = 7,217.83

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1.5x scale

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.