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Finding the Fourth Proportional to 6,076.54, 9,117.69 and 3,616.21

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Solution

The fourth proportional to 6,076.54, 9,117.69 and 3,616.21 is: 5,426.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.54 : 9,117.69 = 3,616.21 : x
  2. Step 2: Convert to fraction form
    6,076.54/9,117.69 = 3,616.21/x
  3. Step 3: Cross multiply
    6,076.54x = 9,117.69 × 3,616.21
  4. Step 4: Simplify right side
    6,076.54x = 32,971,481.75
  5. Step 5: Solve for x
    x = 32,971,481.75/6,076.54
  6. Step 6: Final answer
    x = 5,426.03

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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.