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Finding the Fourth Proportional to 9,167.88, 13,751.82 and 3,324.49

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Solution

The fourth proportional to 9,167.88, 13,751.82 and 3,324.49 is: 4,986.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.88 : 13,751.82 = 3,324.49 : x
  2. Step 2: Convert to fraction form
    9,167.88/13,751.82 = 3,324.49/x
  3. Step 3: Cross multiply
    9,167.88x = 13,751.82 × 3,324.49
  4. Step 4: Simplify right side
    9,167.88x = 45,717,788.07
  5. Step 5: Solve for x
    x = 45,717,788.07/9,167.88
  6. Step 6: Final answer
    x = 4,986.74

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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.