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Finding the Fourth Proportional to 9,940.30, 13,718.91 and 6,413.77

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Solution

The fourth proportional to 9,940.30, 13,718.91 and 6,413.77 is: 8,851.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.30 : 13,718.91 = 6,413.77 : x
  2. Step 2: Convert to fraction form
    9,940.30/13,718.91 = 6,413.77/x
  3. Step 3: Cross multiply
    9,940.30x = 13,718.91 × 6,413.77
  4. Step 4: Simplify right side
    9,940.30x = 87,989,933.39
  5. Step 5: Solve for x
    x = 87,989,933.39/9,940.30
  6. Step 6: Final answer
    x = 8,851.84

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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.