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Finding the Fourth Proportional to 6,471.96, 9,707.19 and 3,350.22

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Solution

The fourth proportional to 6,471.96, 9,707.19 and 3,350.22 is: 5,024.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.96 : 9,707.19 = 3,350.22 : x
  2. Step 2: Convert to fraction form
    6,471.96/9,707.19 = 3,350.22/x
  3. Step 3: Cross multiply
    6,471.96x = 9,707.19 × 3,350.22
  4. Step 4: Simplify right side
    6,471.96x = 32,521,222.08
  5. Step 5: Solve for x
    x = 32,521,222.08/6,471.96
  6. Step 6: Final answer
    x = 5,024.94

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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.