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Finding the Fourth Proportional to 6,561.26, 9,833.49 and 3,599.66

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Solution

The fourth proportional to 6,561.26, 9,833.49 and 3,599.66 is: 5,394.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.26 : 9,833.49 = 3,599.66 : x
  2. Step 2: Convert to fraction form
    6,561.26/9,833.49 = 3,599.66/x
  3. Step 3: Cross multiply
    6,561.26x = 9,833.49 × 3,599.66
  4. Step 4: Simplify right side
    6,561.26x = 35,397,220.61
  5. Step 5: Solve for x
    x = 35,397,220.61/6,561.26
  6. Step 6: Final answer
    x = 5,394.88

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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.