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Finding the Fourth Proportional to 9,481.38, 13,081.68 and 6,124.34

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Solution

The fourth proportional to 9,481.38, 13,081.68 and 6,124.34 is: 8,449.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.38 : 13,081.68 = 6,124.34 : x
  2. Step 2: Convert to fraction form
    9,481.38/13,081.68 = 6,124.34/x
  3. Step 3: Cross multiply
    9,481.38x = 13,081.68 × 6,124.34
  4. Step 4: Simplify right side
    9,481.38x = 80,116,590.68
  5. Step 5: Solve for x
    x = 80,116,590.68/9,481.38
  6. Step 6: Final answer
    x = 8,449.89

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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.