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Finding the Fourth Proportional to 9,608.80, 14,413.20 and 8,072.80

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Solution

The fourth proportional to 9,608.80, 14,413.20 and 8,072.80 is: 12,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.80 : 14,413.20 = 8,072.80 : x
  2. Step 2: Convert to fraction form
    9,608.80/14,413.20 = 8,072.80/x
  3. Step 3: Cross multiply
    9,608.80x = 14,413.20 × 8,072.80
  4. Step 4: Simplify right side
    9,608.80x = 116,354,880.96
  5. Step 5: Solve for x
    x = 116,354,880.96/9,608.80
  6. Step 6: Final answer
    x = 12,109.20

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.