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Finding the Fourth Proportional to 6,641.80, 9,163.74 and 4,125.76

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Solution

The fourth proportional to 6,641.80, 9,163.74 and 4,125.76 is: 5,692.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.80 : 9,163.74 = 4,125.76 : x
  2. Step 2: Convert to fraction form
    6,641.80/9,163.74 = 4,125.76/x
  3. Step 3: Cross multiply
    6,641.80x = 9,163.74 × 4,125.76
  4. Step 4: Simplify right side
    6,641.80x = 37,807,391.94
  5. Step 5: Solve for x
    x = 37,807,391.94/6,641.80
  6. Step 6: Final answer
    x = 5,692.34

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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.