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Finding the Fourth Proportional to 9,757.70, 14,635.08 and 3,183.86

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Solution

The fourth proportional to 9,757.70, 14,635.08 and 3,183.86 is: 4,775.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.70 : 14,635.08 = 3,183.86 : x
  2. Step 2: Convert to fraction form
    9,757.70/14,635.08 = 3,183.86/x
  3. Step 3: Cross multiply
    9,757.70x = 14,635.08 × 3,183.86
  4. Step 4: Simplify right side
    9,757.70x = 46,596,045.81
  5. Step 5: Solve for x
    x = 46,596,045.81/9,757.70
  6. Step 6: Final answer
    x = 4,775.31

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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.