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Finding the Fourth Proportional to 9,072.80, 13,610.43 and 2,833.25

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Solution

The fourth proportional to 9,072.80, 13,610.43 and 2,833.25 is: 4,250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.80 : 13,610.43 = 2,833.25 : x
  2. Step 2: Convert to fraction form
    9,072.80/13,610.43 = 2,833.25/x
  3. Step 3: Cross multiply
    9,072.80x = 13,610.43 × 2,833.25
  4. Step 4: Simplify right side
    9,072.80x = 38,561,750.80
  5. Step 5: Solve for x
    x = 38,561,750.80/9,072.80
  6. Step 6: Final answer
    x = 4,250.26

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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.