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Finding the Fourth Proportional to 9,771.91, 14,659.69 and 3,198.46

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Solution

The fourth proportional to 9,771.91, 14,659.69 and 3,198.46 is: 4,798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.91 : 14,659.69 = 3,198.46 : x
  2. Step 2: Convert to fraction form
    9,771.91/14,659.69 = 3,198.46/x
  3. Step 3: Cross multiply
    9,771.91x = 14,659.69 × 3,198.46
  4. Step 4: Simplify right side
    9,771.91x = 46,888,432.08
  5. Step 5: Solve for x
    x = 46,888,432.08/9,771.91
  6. Step 6: Final answer
    x = 4,798.29

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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.