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Finding the Fourth Proportional to 6,317.75, 9,471.94 and 3,027.71

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Solution

The fourth proportional to 6,317.75, 9,471.94 and 3,027.71 is: 4,539.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.75 : 9,471.94 = 3,027.71 : x
  2. Step 2: Convert to fraction form
    6,317.75/9,471.94 = 3,027.71/x
  3. Step 3: Cross multiply
    6,317.75x = 9,471.94 × 3,027.71
  4. Step 4: Simplify right side
    6,317.75x = 28,678,232.53
  5. Step 5: Solve for x
    x = 28,678,232.53/6,317.75
  6. Step 6: Final answer
    x = 4,539.31

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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.