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Finding the Fourth Proportional to 9,659.90, 14,489.87 and 3,086.60

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Solution

The fourth proportional to 9,659.90, 14,489.87 and 3,086.60 is: 4,629.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.90 : 14,489.87 = 3,086.60 : x
  2. Step 2: Convert to fraction form
    9,659.90/14,489.87 = 3,086.60/x
  3. Step 3: Cross multiply
    9,659.90x = 14,489.87 × 3,086.60
  4. Step 4: Simplify right side
    9,659.90x = 44,724,344.86
  5. Step 5: Solve for x
    x = 44,724,344.86/9,659.90
  6. Step 6: Final answer
    x = 4,629.90

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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.