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Finding the Fourth Proportional to 6,201.22, 8,559.93 and 4,106.02

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Solution

The fourth proportional to 6,201.22, 8,559.93 and 4,106.02 is: 5,667.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.22 : 8,559.93 = 4,106.02 : x
  2. Step 2: Convert to fraction form
    6,201.22/8,559.93 = 4,106.02/x
  3. Step 3: Cross multiply
    6,201.22x = 8,559.93 × 4,106.02
  4. Step 4: Simplify right side
    6,201.22x = 35,147,243.78
  5. Step 5: Solve for x
    x = 35,147,243.78/6,201.22
  6. Step 6: Final answer
    x = 5,667.80

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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.