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Finding the Fourth Proportional to 9,042.82, 13,562.82 and 2,469.52

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Solution

The fourth proportional to 9,042.82, 13,562.82 and 2,469.52 is: 3,703.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.82 : 13,562.82 = 2,469.52 : x
  2. Step 2: Convert to fraction form
    9,042.82/13,562.82 = 2,469.52/x
  3. Step 3: Cross multiply
    9,042.82x = 13,562.82 × 2,469.52
  4. Step 4: Simplify right side
    9,042.82x = 33,493,655.25
  5. Step 5: Solve for x
    x = 33,493,655.25/9,042.82
  6. Step 6: Final answer
    x = 3,703.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.