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Finding the Fourth Proportional to 6,413.87, 8,851.29 and 4,023.95

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Solution

The fourth proportional to 6,413.87, 8,851.29 and 4,023.95 is: 5,553.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.87 : 8,851.29 = 4,023.95 : x
  2. Step 2: Convert to fraction form
    6,413.87/8,851.29 = 4,023.95/x
  3. Step 3: Cross multiply
    6,413.87x = 8,851.29 × 4,023.95
  4. Step 4: Simplify right side
    6,413.87x = 35,617,104.14
  5. Step 5: Solve for x
    x = 35,617,104.14/6,413.87
  6. Step 6: Final answer
    x = 5,553.14

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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.