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Finding the Fourth Proportional to 6,102.74, 9,141.33 and 3,900.26

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Solution

The fourth proportional to 6,102.74, 9,141.33 and 3,900.26 is: 5,842.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.74 : 9,141.33 = 3,900.26 : x
  2. Step 2: Convert to fraction form
    6,102.74/9,141.33 = 3,900.26/x
  3. Step 3: Cross multiply
    6,102.74x = 9,141.33 × 3,900.26
  4. Step 4: Simplify right side
    6,102.74x = 35,653,563.75
  5. Step 5: Solve for x
    x = 35,653,563.75/6,102.74
  6. Step 6: Final answer
    x = 5,842.22

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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.