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Finding the Fourth Proportional to 9,876.35, 13,556.81 and 8,732.23

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Solution

The fourth proportional to 9,876.35, 13,556.81 and 8,732.23 is: 11,986.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.35 : 13,556.81 = 8,732.23 : x
  2. Step 2: Convert to fraction form
    9,876.35/13,556.81 = 8,732.23/x
  3. Step 3: Cross multiply
    9,876.35x = 13,556.81 × 8,732.23
  4. Step 4: Simplify right side
    9,876.35x = 118,381,170.92
  5. Step 5: Solve for x
    x = 118,381,170.92/9,876.35
  6. Step 6: Final answer
    x = 11,986.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.