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Finding the Fourth Proportional to 6,027.90, 9,025.65 and 3,824.70

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Solution

The fourth proportional to 6,027.90, 9,025.65 and 3,824.70 is: 5,726.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,027.90 : 9,025.65 = 3,824.70 : x
  2. Step 2: Convert to fraction form
    6,027.90/9,025.65 = 3,824.70/x
  3. Step 3: Cross multiply
    6,027.90x = 9,025.65 × 3,824.70
  4. Step 4: Simplify right side
    6,027.90x = 34,520,403.56
  5. Step 5: Solve for x
    x = 34,520,403.56/6,027.90
  6. Step 6: Final answer
    x = 5,726.77

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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.