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Finding the Fourth Proportional to 9,229.75, 13,822.01 and 8,342.23

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Solution

The fourth proportional to 9,229.75, 13,822.01 and 8,342.23 is: 12,492.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.75 : 13,822.01 = 8,342.23 : x
  2. Step 2: Convert to fraction form
    9,229.75/13,822.01 = 8,342.23/x
  3. Step 3: Cross multiply
    9,229.75x = 13,822.01 × 8,342.23
  4. Step 4: Simplify right side
    9,229.75x = 115,306,344.77
  5. Step 5: Solve for x
    x = 115,306,344.77/9,229.75
  6. Step 6: Final answer
    x = 12,492.90

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1.5x scale

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.