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Finding the Fourth Proportional to 9,758.48, 14,639.25 and 3,183.15

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Solution

The fourth proportional to 9,758.48, 14,639.25 and 3,183.15 is: 4,775.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.48 : 14,639.25 = 3,183.15 : x
  2. Step 2: Convert to fraction form
    9,758.48/14,639.25 = 3,183.15/x
  3. Step 3: Cross multiply
    9,758.48x = 14,639.25 × 3,183.15
  4. Step 4: Simplify right side
    9,758.48x = 46,598,928.64
  5. Step 5: Solve for x
    x = 46,598,928.64/9,758.48
  6. Step 6: Final answer
    x = 4,775.22

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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.