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Finding the Fourth Proportional to 6,413.06, 8,850.17 and 4,023.13

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Solution

The fourth proportional to 6,413.06, 8,850.17 and 4,023.13 is: 5,552.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.06 : 8,850.17 = 4,023.13 : x
  2. Step 2: Convert to fraction form
    6,413.06/8,850.17 = 4,023.13/x
  3. Step 3: Cross multiply
    6,413.06x = 8,850.17 × 4,023.13
  4. Step 4: Simplify right side
    6,413.06x = 35,605,384.43
  5. Step 5: Solve for x
    x = 35,605,384.43/6,413.06
  6. Step 6: Final answer
    x = 5,552.01

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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.