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Finding the Fourth Proportional to 9,072.66, 13,610.28 and 2,833.23

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Solution

The fourth proportional to 9,072.66, 13,610.28 and 2,833.23 is: 4,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.66 : 13,610.28 = 2,833.23 : x
  2. Step 2: Convert to fraction form
    9,072.66/13,610.28 = 2,833.23/x
  3. Step 3: Cross multiply
    9,072.66x = 13,610.28 × 2,833.23
  4. Step 4: Simplify right side
    9,072.66x = 38,561,053.60
  5. Step 5: Solve for x
    x = 38,561,053.60/9,072.66
  6. Step 6: Final answer
    x = 4,250.25

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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.