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Finding the Fourth Proportional to 9,766.86, 14,651.06 and 3,193.71

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Solution

The fourth proportional to 9,766.86, 14,651.06 and 3,193.71 is: 4,790.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.86 : 14,651.06 = 3,193.71 : x
  2. Step 2: Convert to fraction form
    9,766.86/14,651.06 = 3,193.71/x
  3. Step 3: Cross multiply
    9,766.86x = 14,651.06 × 3,193.71
  4. Step 4: Simplify right side
    9,766.86x = 46,791,220.86
  5. Step 5: Solve for x
    x = 46,791,220.86/9,766.86
  6. Step 6: Final answer
    x = 4,790.82

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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.