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Finding the Fourth Proportional to 6,201.86, 8,560.08 and 3,812.42

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Solution

The fourth proportional to 6,201.86, 8,560.08 and 3,812.42 is: 5,262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.86 : 8,560.08 = 3,812.42 : x
  2. Step 2: Convert to fraction form
    6,201.86/8,560.08 = 3,812.42/x
  3. Step 3: Cross multiply
    6,201.86x = 8,560.08 × 3,812.42
  4. Step 4: Simplify right side
    6,201.86x = 32,634,620.19
  5. Step 5: Solve for x
    x = 32,634,620.19/6,201.86
  6. Step 6: Final answer
    x = 5,262.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.