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Finding the Fourth Proportional to 9,470.73, 14,206.74 and 3,229.11

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Solution

The fourth proportional to 9,470.73, 14,206.74 and 3,229.11 is: 4,843.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.73 : 14,206.74 = 3,229.11 : x
  2. Step 2: Convert to fraction form
    9,470.73/14,206.74 = 3,229.11/x
  3. Step 3: Cross multiply
    9,470.73x = 14,206.74 × 3,229.11
  4. Step 4: Simplify right side
    9,470.73x = 45,875,126.20
  5. Step 5: Solve for x
    x = 45,875,126.20/9,470.73
  6. Step 6: Final answer
    x = 4,843.88

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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.