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Finding the Fourth Proportional to 6,199.75, 9,288.08 and 3,076.19

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Solution

The fourth proportional to 6,199.75, 9,288.08 and 3,076.19 is: 4,608.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.75 : 9,288.08 = 3,076.19 : x
  2. Step 2: Convert to fraction form
    6,199.75/9,288.08 = 3,076.19/x
  3. Step 3: Cross multiply
    6,199.75x = 9,288.08 × 3,076.19
  4. Step 4: Simplify right side
    6,199.75x = 28,571,898.82
  5. Step 5: Solve for x
    x = 28,571,898.82/6,199.75
  6. Step 6: Final answer
    x = 4,608.56

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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.