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Finding the Fourth Proportional to 9,076.87, 13,616.89 and 4,147.01

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Solution

The fourth proportional to 9,076.87, 13,616.89 and 4,147.01 is: 6,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.87 : 13,616.89 = 4,147.01 : x
  2. Step 2: Convert to fraction form
    9,076.87/13,616.89 = 4,147.01/x
  3. Step 3: Cross multiply
    9,076.87x = 13,616.89 × 4,147.01
  4. Step 4: Simplify right side
    9,076.87x = 56,469,379.00
  5. Step 5: Solve for x
    x = 56,469,379.00/9,076.87
  6. Step 6: Final answer
    x = 6,221.24

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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.