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Finding the Fourth Proportional to 6,288.78, 9,413.73 and 5,355.66

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Solution

The fourth proportional to 6,288.78, 9,413.73 and 5,355.66 is: 8,016.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.78 : 9,413.73 = 5,355.66 : x
  2. Step 2: Convert to fraction form
    6,288.78/9,413.73 = 5,355.66/x
  3. Step 3: Cross multiply
    6,288.78x = 9,413.73 × 5,355.66
  4. Step 4: Simplify right side
    6,288.78x = 50,416,737.21
  5. Step 5: Solve for x
    x = 50,416,737.21/6,288.78
  6. Step 6: Final answer
    x = 8,016.93

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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.