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Finding the Fourth Proportional to 9,447.03, 14,226.78 and 8,229.14

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Solution

The fourth proportional to 9,447.03, 14,226.78 and 8,229.14 is: 12,392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.03 : 14,226.78 = 8,229.14 : x
  2. Step 2: Convert to fraction form
    9,447.03/14,226.78 = 8,229.14/x
  3. Step 3: Cross multiply
    9,447.03x = 14,226.78 × 8,229.14
  4. Step 4: Simplify right side
    9,447.03x = 117,074,164.37
  5. Step 5: Solve for x
    x = 117,074,164.37/9,447.03
  6. Step 6: Final answer
    x = 12,392.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.