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Finding the Fourth Proportional to 6,471.07, 9,708.66 and 2,310.99

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Solution

The fourth proportional to 6,471.07, 9,708.66 and 2,310.99 is: 3,467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.07 : 9,708.66 = 2,310.99 : x
  2. Step 2: Convert to fraction form
    6,471.07/9,708.66 = 2,310.99/x
  3. Step 3: Cross multiply
    6,471.07x = 9,708.66 × 2,310.99
  4. Step 4: Simplify right side
    6,471.07x = 22,436,616.17
  5. Step 5: Solve for x
    x = 22,436,616.17/6,471.07
  6. Step 6: Final answer
    x = 3,467.22

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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.