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Finding the Fourth Proportional to 9,956.48, 14,936.75 and 8,324.43

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Solution

The fourth proportional to 9,956.48, 14,936.75 and 8,324.43 is: 12,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.48 : 14,936.75 = 8,324.43 : x
  2. Step 2: Convert to fraction form
    9,956.48/14,936.75 = 8,324.43/x
  3. Step 3: Cross multiply
    9,956.48x = 14,936.75 × 8,324.43
  4. Step 4: Simplify right side
    9,956.48x = 124,339,910.21
  5. Step 5: Solve for x
    x = 124,339,910.21/9,956.48
  6. Step 6: Final answer
    x = 12,488.35

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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.