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Finding the Fourth Proportional to 9,076.10, 13,616.32 and 3,808.22

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Solution

The fourth proportional to 9,076.10, 13,616.32 and 3,808.22 is: 5,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.10 : 13,616.32 = 3,808.22 : x
  2. Step 2: Convert to fraction form
    9,076.10/13,616.32 = 3,808.22/x
  3. Step 3: Cross multiply
    9,076.10x = 13,616.32 × 3,808.22
  4. Step 4: Simplify right side
    9,076.10x = 51,853,942.15
  5. Step 5: Solve for x
    x = 51,853,942.15/9,076.10
  6. Step 6: Final answer
    x = 5,713.24

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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.