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Finding the Fourth Proportional to 6,502.20, 9,754.33 and 2,805.48

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Solution

The fourth proportional to 6,502.20, 9,754.33 and 2,805.48 is: 4,208.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.20 : 9,754.33 = 2,805.48 : x
  2. Step 2: Convert to fraction form
    6,502.20/9,754.33 = 2,805.48/x
  3. Step 3: Cross multiply
    6,502.20x = 9,754.33 × 2,805.48
  4. Step 4: Simplify right side
    6,502.20x = 27,365,577.73
  5. Step 5: Solve for x
    x = 27,365,577.73/6,502.20
  6. Step 6: Final answer
    x = 4,208.66

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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.