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Finding the Fourth Proportional to 9,766.80, 14,646.60 and 3,193.20

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Solution

The fourth proportional to 9,766.80, 14,646.60 and 3,193.20 is: 4,788.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.80 : 14,646.60 = 3,193.20 : x
  2. Step 2: Convert to fraction form
    9,766.80/14,646.60 = 3,193.20/x
  3. Step 3: Cross multiply
    9,766.80x = 14,646.60 × 3,193.20
  4. Step 4: Simplify right side
    9,766.80x = 46,769,523.12
  5. Step 5: Solve for x
    x = 46,769,523.12/9,766.80
  6. Step 6: Final answer
    x = 4,788.62

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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.