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Finding the Fourth Proportional to 9,144.50, 13,734.97 and 8,628.71

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Solution

The fourth proportional to 9,144.50, 13,734.97 and 8,628.71 is: 12,960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.50 : 13,734.97 = 8,628.71 : x
  2. Step 2: Convert to fraction form
    9,144.50/13,734.97 = 8,628.71/x
  3. Step 3: Cross multiply
    9,144.50x = 13,734.97 × 8,628.71
  4. Step 4: Simplify right side
    9,144.50x = 118,514,982.74
  5. Step 5: Solve for x
    x = 118,514,982.74/9,144.50
  6. Step 6: Final answer
    x = 12,960.25

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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.