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Finding the Fourth Proportional to 9,432.80, 14,149.20 and 6,808.40

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Solution

The fourth proportional to 9,432.80, 14,149.20 and 6,808.40 is: 10,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.80 : 14,149.20 = 6,808.40 : x
  2. Step 2: Convert to fraction form
    9,432.80/14,149.20 = 6,808.40/x
  3. Step 3: Cross multiply
    9,432.80x = 14,149.20 × 6,808.40
  4. Step 4: Simplify right side
    9,432.80x = 96,333,413.28
  5. Step 5: Solve for x
    x = 96,333,413.28/9,432.80
  6. Step 6: Final answer
    x = 10,212.60

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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.