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Finding the Fourth Proportional to 9,752.86, 14,630.81 and 3,177.52

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Solution

The fourth proportional to 9,752.86, 14,630.81 and 3,177.52 is: 4,766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.86 : 14,630.81 = 3,177.52 : x
  2. Step 2: Convert to fraction form
    9,752.86/14,630.81 = 3,177.52/x
  3. Step 3: Cross multiply
    9,752.86x = 14,630.81 × 3,177.52
  4. Step 4: Simplify right side
    9,752.86x = 46,489,691.39
  5. Step 5: Solve for x
    x = 46,489,691.39/9,752.86
  6. Step 6: Final answer
    x = 4,766.78

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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.