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Finding the Fourth Proportional to 9,761.50, 14,640.63 and 4,217.86

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Solution

The fourth proportional to 9,761.50, 14,640.63 and 4,217.86 is: 6,326.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.50 : 14,640.63 = 4,217.86 : x
  2. Step 2: Convert to fraction form
    9,761.50/14,640.63 = 4,217.86/x
  3. Step 3: Cross multiply
    9,761.50x = 14,640.63 × 4,217.86
  4. Step 4: Simplify right side
    9,761.50x = 61,752,127.65
  5. Step 5: Solve for x
    x = 61,752,127.65/9,761.50
  6. Step 6: Final answer
    x = 6,326.09

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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.