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Finding the Fourth Proportional to 6,122.96, 9,189.77 and 3,203.31

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Solution

The fourth proportional to 6,122.96, 9,189.77 and 3,203.31 is: 4,807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.96 : 9,189.77 = 3,203.31 : x
  2. Step 2: Convert to fraction form
    6,122.96/9,189.77 = 3,203.31/x
  3. Step 3: Cross multiply
    6,122.96x = 9,189.77 × 3,203.31
  4. Step 4: Simplify right side
    6,122.96x = 29,437,682.14
  5. Step 5: Solve for x
    x = 29,437,682.14/6,122.96
  6. Step 6: Final answer
    x = 4,807.75

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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.