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Finding the Fourth Proportional to 9,413.56, 12,990.16 and 5,380.83

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Solution

The fourth proportional to 9,413.56, 12,990.16 and 5,380.83 is: 7,425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.56 : 12,990.16 = 5,380.83 : x
  2. Step 2: Convert to fraction form
    9,413.56/12,990.16 = 5,380.83/x
  3. Step 3: Cross multiply
    9,413.56x = 12,990.16 × 5,380.83
  4. Step 4: Simplify right side
    9,413.56x = 69,897,750.78
  5. Step 5: Solve for x
    x = 69,897,750.78/9,413.56
  6. Step 6: Final answer
    x = 7,425.22

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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.