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Finding the Fourth Proportional to 9,793.20, 14,689.80 and 8,180.40

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Solution

The fourth proportional to 9,793.20, 14,689.80 and 8,180.40 is: 12,270.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.20 : 14,689.80 = 8,180.40 : x
  2. Step 2: Convert to fraction form
    9,793.20/14,689.80 = 8,180.40/x
  3. Step 3: Cross multiply
    9,793.20x = 14,689.80 × 8,180.40
  4. Step 4: Simplify right side
    9,793.20x = 120,168,439.92
  5. Step 5: Solve for x
    x = 120,168,439.92/9,793.20
  6. Step 6: Final answer
    x = 12,270.60

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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.