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Finding the Fourth Proportional to 6,553.97, 9,044.21 and 3,569.80

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Solution

The fourth proportional to 6,553.97, 9,044.21 and 3,569.80 is: 4,926.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.97 : 9,044.21 = 3,569.80 : x
  2. Step 2: Convert to fraction form
    6,553.97/9,044.21 = 3,569.80/x
  3. Step 3: Cross multiply
    6,553.97x = 9,044.21 × 3,569.80
  4. Step 4: Simplify right side
    6,553.97x = 32,286,020.86
  5. Step 5: Solve for x
    x = 32,286,020.86/6,553.97
  6. Step 6: Final answer
    x = 4,926.18

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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.