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Finding the Fourth Proportional to 9,744.27, 14,628.96 and 8,366.46

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Solution

The fourth proportional to 9,744.27, 14,628.96 and 8,366.46 is: 12,560.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.27 : 14,628.96 = 8,366.46 : x
  2. Step 2: Convert to fraction form
    9,744.27/14,628.96 = 8,366.46/x
  3. Step 3: Cross multiply
    9,744.27x = 14,628.96 × 8,366.46
  4. Step 4: Simplify right side
    9,744.27x = 122,392,608.68
  5. Step 5: Solve for x
    x = 122,392,608.68/9,744.27
  6. Step 6: Final answer
    x = 12,560.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.