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Finding the Fourth Proportional to 6,553.80, 9,041.55 and 4,163.13

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Solution

The fourth proportional to 6,553.80, 9,041.55 and 4,163.13 is: 5,743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.80 : 9,041.55 = 4,163.13 : x
  2. Step 2: Convert to fraction form
    6,553.80/9,041.55 = 4,163.13/x
  3. Step 3: Cross multiply
    6,553.80x = 9,041.55 × 4,163.13
  4. Step 4: Simplify right side
    6,553.80x = 37,641,148.05
  5. Step 5: Solve for x
    x = 37,641,148.05/6,553.80
  6. Step 6: Final answer
    x = 5,743.41

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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.