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Finding the Fourth Proportional to 9,757.38, 14,638.42 and 3,183.60

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Solution

The fourth proportional to 9,757.38, 14,638.42 and 3,183.60 is: 4,776.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.38 : 14,638.42 = 3,183.60 : x
  2. Step 2: Convert to fraction form
    9,757.38/14,638.42 = 3,183.60/x
  3. Step 3: Cross multiply
    9,757.38x = 14,638.42 × 3,183.60
  4. Step 4: Simplify right side
    9,757.38x = 46,602,873.91
  5. Step 5: Solve for x
    x = 46,602,873.91/9,757.38
  6. Step 6: Final answer
    x = 4,776.17

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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.