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Finding the Fourth Proportional to 9,841.86, 14,747.29 and 6,138.54

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Solution

The fourth proportional to 9,841.86, 14,747.29 and 6,138.54 is: 9,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.86 : 14,747.29 = 6,138.54 : x
  2. Step 2: Convert to fraction form
    9,841.86/14,747.29 = 6,138.54/x
  3. Step 3: Cross multiply
    9,841.86x = 14,747.29 × 6,138.54
  4. Step 4: Simplify right side
    9,841.86x = 90,526,829.56
  5. Step 5: Solve for x
    x = 90,526,829.56/9,841.86
  6. Step 6: Final answer
    x = 9,198.14

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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.