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Finding the Fourth Proportional to 9,863.67, 14,782.80 and 3,616.25

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Solution

The fourth proportional to 9,863.67, 14,782.80 and 3,616.25 is: 5,419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.67 : 14,782.80 = 3,616.25 : x
  2. Step 2: Convert to fraction form
    9,863.67/14,782.80 = 3,616.25/x
  3. Step 3: Cross multiply
    9,863.67x = 14,782.80 × 3,616.25
  4. Step 4: Simplify right side
    9,863.67x = 53,458,240.15
  5. Step 5: Solve for x
    x = 53,458,240.15/9,863.67
  6. Step 6: Final answer
    x = 5,419.71

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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.