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Finding the Fourth Proportional to 9,682, 14,527.86 and 4,489.36

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Solution

The fourth proportional to 9,682, 14,527.86 and 4,489.36 is: 6,736.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682 : 14,527.86 = 4,489.36 : x
  2. Step 2: Convert to fraction form
    9,682/14,527.86 = 4,489.36/x
  3. Step 3: Cross multiply
    9,682x = 14,527.86 × 4,489.36
  4. Step 4: Simplify right side
    9,682x = 65,220,793.57
  5. Step 5: Solve for x
    x = 65,220,793.57/9,682
  6. Step 6: Final answer
    x = 6,736.29

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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.