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Finding the Fourth Proportional to 6,471.30, 9,682.35 and 3,999.99

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Solution

The fourth proportional to 6,471.30, 9,682.35 and 3,999.99 is: 5,984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.30 : 9,682.35 = 3,999.99 : x
  2. Step 2: Convert to fraction form
    6,471.30/9,682.35 = 3,999.99/x
  3. Step 3: Cross multiply
    6,471.30x = 9,682.35 × 3,999.99
  4. Step 4: Simplify right side
    6,471.30x = 38,729,303.18
  5. Step 5: Solve for x
    x = 38,729,303.18/6,471.30
  6. Step 6: Final answer
    x = 5,984.78

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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.