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Finding the Fourth Proportional to 9,659.28, 14,503.65 and 9,183.60

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Solution

The fourth proportional to 9,659.28, 14,503.65 and 9,183.60 is: 13,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.28 : 14,503.65 = 9,183.60 : x
  2. Step 2: Convert to fraction form
    9,659.28/14,503.65 = 9,183.60/x
  3. Step 3: Cross multiply
    9,659.28x = 14,503.65 × 9,183.60
  4. Step 4: Simplify right side
    9,659.28x = 133,195,720.14
  5. Step 5: Solve for x
    x = 133,195,720.14/9,659.28
  6. Step 6: Final answer
    x = 13,789.40

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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.