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Finding the Fourth Proportional to 6,227.48, 9,319.73 and 3,854.59

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Solution

The fourth proportional to 6,227.48, 9,319.73 and 3,854.59 is: 5,768.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.48 : 9,319.73 = 3,854.59 : x
  2. Step 2: Convert to fraction form
    6,227.48/9,319.73 = 3,854.59/x
  3. Step 3: Cross multiply
    6,227.48x = 9,319.73 × 3,854.59
  4. Step 4: Simplify right side
    6,227.48x = 35,923,695.49
  5. Step 5: Solve for x
    x = 35,923,695.49/6,227.48
  6. Step 6: Final answer
    x = 5,768.57

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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.