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Finding the Fourth Proportional to 6,413.48, 8,847.56 and 4,174.54

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Solution

The fourth proportional to 6,413.48, 8,847.56 and 4,174.54 is: 5,758.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.48 : 8,847.56 = 4,174.54 : x
  2. Step 2: Convert to fraction form
    6,413.48/8,847.56 = 4,174.54/x
  3. Step 3: Cross multiply
    6,413.48x = 8,847.56 × 4,174.54
  4. Step 4: Simplify right side
    6,413.48x = 36,934,481.44
  5. Step 5: Solve for x
    x = 36,934,481.44/6,413.48
  6. Step 6: Final answer
    x = 5,758.88

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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.