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Finding the Fourth Proportional to 6,363.54, 9,544.89 and 2,413.17

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Solution

The fourth proportional to 6,363.54, 9,544.89 and 2,413.17 is: 3,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.54 : 9,544.89 = 2,413.17 : x
  2. Step 2: Convert to fraction form
    6,363.54/9,544.89 = 2,413.17/x
  3. Step 3: Cross multiply
    6,363.54x = 9,544.89 × 2,413.17
  4. Step 4: Simplify right side
    6,363.54x = 23,033,442.20
  5. Step 5: Solve for x
    x = 23,033,442.20/6,363.54
  6. Step 6: Final answer
    x = 3,619.60

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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.