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Finding the Fourth Proportional to 6,023.56, 9,041.25 and 3,833.83

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Solution

The fourth proportional to 6,023.56, 9,041.25 and 3,833.83 is: 5,754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023.56 : 9,041.25 = 3,833.83 : x
  2. Step 2: Convert to fraction form
    6,023.56/9,041.25 = 3,833.83/x
  3. Step 3: Cross multiply
    6,023.56x = 9,041.25 × 3,833.83
  4. Step 4: Simplify right side
    6,023.56x = 34,662,615.49
  5. Step 5: Solve for x
    x = 34,662,615.49/6,023.56
  6. Step 6: Final answer
    x = 5,754.51

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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.