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Finding the Fourth Proportional to 9,739.92, 14,608.50 and 3,166.20

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Solution

The fourth proportional to 9,739.92, 14,608.50 and 3,166.20 is: 4,748.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.92 : 14,608.50 = 3,166.20 : x
  2. Step 2: Convert to fraction form
    9,739.92/14,608.50 = 3,166.20/x
  3. Step 3: Cross multiply
    9,739.92x = 14,608.50 × 3,166.20
  4. Step 4: Simplify right side
    9,739.92x = 46,253,432.70
  5. Step 5: Solve for x
    x = 46,253,432.70/9,739.92
  6. Step 6: Final answer
    x = 4,748.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.