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Finding the Fourth Proportional to 6,523.09, 9,001.81 and 3,690.48

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Solution

The fourth proportional to 6,523.09, 9,001.81 and 3,690.48 is: 5,092.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.09 : 9,001.81 = 3,690.48 : x
  2. Step 2: Convert to fraction form
    6,523.09/9,001.81 = 3,690.48/x
  3. Step 3: Cross multiply
    6,523.09x = 9,001.81 × 3,690.48
  4. Step 4: Simplify right side
    6,523.09x = 33,220,999.77
  5. Step 5: Solve for x
    x = 33,220,999.77/6,523.09
  6. Step 6: Final answer
    x = 5,092.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.