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Finding the Fourth Proportional to 9,728.75, 13,413.40 and 6,366.24

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Solution

The fourth proportional to 9,728.75, 13,413.40 and 6,366.24 is: 8,777.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.75 : 13,413.40 = 6,366.24 : x
  2. Step 2: Convert to fraction form
    9,728.75/13,413.40 = 6,366.24/x
  3. Step 3: Cross multiply
    9,728.75x = 13,413.40 × 6,366.24
  4. Step 4: Simplify right side
    9,728.75x = 85,392,907.70
  5. Step 5: Solve for x
    x = 85,392,907.70/9,728.75
  6. Step 6: Final answer
    x = 8,777.37

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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.