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Finding the Fourth Proportional to 9,378.80, 12,946.73 and 5,843.76

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Solution

The fourth proportional to 9,378.80, 12,946.73 and 5,843.76 is: 8,066.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.80 : 12,946.73 = 5,843.76 : x
  2. Step 2: Convert to fraction form
    9,378.80/12,946.73 = 5,843.76/x
  3. Step 3: Cross multiply
    9,378.80x = 12,946.73 × 5,843.76
  4. Step 4: Simplify right side
    9,378.80x = 75,657,624.65
  5. Step 5: Solve for x
    x = 75,657,624.65/9,378.80
  6. Step 6: Final answer
    x = 8,066.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.