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Finding the Fourth Proportional to 6,471.99, 9,704.06 and 4,222.20

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Solution

The fourth proportional to 6,471.99, 9,704.06 and 4,222.20 is: 6,330.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.99 : 9,704.06 = 4,222.20 : x
  2. Step 2: Convert to fraction form
    6,471.99/9,704.06 = 4,222.20/x
  3. Step 3: Cross multiply
    6,471.99x = 9,704.06 × 4,222.20
  4. Step 4: Simplify right side
    6,471.99x = 40,972,482.13
  5. Step 5: Solve for x
    x = 40,972,482.13/6,471.99
  6. Step 6: Final answer
    x = 6,330.74

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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.