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Finding the Fourth Proportional to 9,766.70, 14,650.08 and 3,193.52

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Solution

The fourth proportional to 9,766.70, 14,650.08 and 3,193.52 is: 4,790.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.70 : 14,650.08 = 3,193.52 : x
  2. Step 2: Convert to fraction form
    9,766.70/14,650.08 = 3,193.52/x
  3. Step 3: Cross multiply
    9,766.70x = 14,650.08 × 3,193.52
  4. Step 4: Simplify right side
    9,766.70x = 46,785,323.48
  5. Step 5: Solve for x
    x = 46,785,323.48/9,766.70
  6. Step 6: Final answer
    x = 4,790.29

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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.