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Finding the Fourth Proportional to 6,945.71, 10,413.95 and 3,827.21

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Solution

The fourth proportional to 6,945.71, 10,413.95 and 3,827.21 is: 5,738.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.71 : 10,413.95 = 3,827.21 : x
  2. Step 2: Convert to fraction form
    6,945.71/10,413.95 = 3,827.21/x
  3. Step 3: Cross multiply
    6,945.71x = 10,413.95 × 3,827.21
  4. Step 4: Simplify right side
    6,945.71x = 39,856,302.37
  5. Step 5: Solve for x
    x = 39,856,302.37/6,945.71
  6. Step 6: Final answer
    x = 5,738.27

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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.