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Finding the Fourth Proportional to 9,413.16, 12,992.70 and 5,874.24

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Solution

The fourth proportional to 9,413.16, 12,992.70 and 5,874.24 is: 8,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.16 : 12,992.70 = 5,874.24 : x
  2. Step 2: Convert to fraction form
    9,413.16/12,992.70 = 5,874.24/x
  3. Step 3: Cross multiply
    9,413.16x = 12,992.70 × 5,874.24
  4. Step 4: Simplify right side
    9,413.16x = 76,322,238.05
  5. Step 5: Solve for x
    x = 76,322,238.05/9,413.16
  6. Step 6: Final answer
    x = 8,108.04

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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.