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Finding the Fourth Proportional to 9,446.91, 14,226.59 and 8,229.03

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Solution

The fourth proportional to 9,446.91, 14,226.59 and 8,229.03 is: 12,392.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.91 : 14,226.59 = 8,229.03 : x
  2. Step 2: Convert to fraction form
    9,446.91/14,226.59 = 8,229.03/x
  3. Step 3: Cross multiply
    9,446.91x = 14,226.59 × 8,229.03
  4. Step 4: Simplify right side
    9,446.91x = 117,071,035.91
  5. Step 5: Solve for x
    x = 117,071,035.91/9,446.91
  6. Step 6: Final answer
    x = 12,392.52

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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.