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Finding the Fourth Proportional to 6,419.71, 9,627.27 and 2,471.26

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Solution

The fourth proportional to 6,419.71, 9,627.27 and 2,471.26 is: 3,706.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.71 : 9,627.27 = 2,471.26 : x
  2. Step 2: Convert to fraction form
    6,419.71/9,627.27 = 2,471.26/x
  3. Step 3: Cross multiply
    6,419.71x = 9,627.27 × 2,471.26
  4. Step 4: Simplify right side
    6,419.71x = 23,791,487.26
  5. Step 5: Solve for x
    x = 23,791,487.26/6,419.71
  6. Step 6: Final answer
    x = 3,706.01

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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.