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Finding the Fourth Proportional to 9,413.15, 12,989.95 and 5,221.40

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Solution

The fourth proportional to 9,413.15, 12,989.95 and 5,221.40 is: 7,205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.15 : 12,989.95 = 5,221.40 : x
  2. Step 2: Convert to fraction form
    9,413.15/12,989.95 = 5,221.40/x
  3. Step 3: Cross multiply
    9,413.15x = 12,989.95 × 5,221.40
  4. Step 4: Simplify right side
    9,413.15x = 67,825,724.93
  5. Step 5: Solve for x
    x = 67,825,724.93/9,413.15
  6. Step 6: Final answer
    x = 7,205.42

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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.