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Finding the Fourth Proportional to 9,767.50, 14,650.77 and 3,192.82

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Solution

The fourth proportional to 9,767.50, 14,650.77 and 3,192.82 is: 4,789.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.50 : 14,650.77 = 3,192.82 : x
  2. Step 2: Convert to fraction form
    9,767.50/14,650.77 = 3,192.82/x
  3. Step 3: Cross multiply
    9,767.50x = 14,650.77 × 3,192.82
  4. Step 4: Simplify right side
    9,767.50x = 46,777,271.47
  5. Step 5: Solve for x
    x = 46,777,271.47/9,767.50
  6. Step 6: Final answer
    x = 4,789.07

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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.