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Finding the Fourth Proportional to 9,809.67, 13,532.77 and 6,031.33

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Solution

The fourth proportional to 9,809.67, 13,532.77 and 6,031.33 is: 8,320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.67 : 13,532.77 = 6,031.33 : x
  2. Step 2: Convert to fraction form
    9,809.67/13,532.77 = 6,031.33/x
  3. Step 3: Cross multiply
    9,809.67x = 13,532.77 × 6,031.33
  4. Step 4: Simplify right side
    9,809.67x = 81,620,575.39
  5. Step 5: Solve for x
    x = 81,620,575.39/9,809.67
  6. Step 6: Final answer
    x = 8,320.42

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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.