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Finding the Fourth Proportional to 9,682.56, 14,532.96 and 6,221.76

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Solution

The fourth proportional to 9,682.56, 14,532.96 and 6,221.76 is: 9,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.56 : 14,532.96 = 6,221.76 : x
  2. Step 2: Convert to fraction form
    9,682.56/14,532.96 = 6,221.76/x
  3. Step 3: Cross multiply
    9,682.56x = 14,532.96 × 6,221.76
  4. Step 4: Simplify right side
    9,682.56x = 90,420,589.21
  5. Step 5: Solve for x
    x = 90,420,589.21/9,682.56
  6. Step 6: Final answer
    x = 9,338.50

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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.