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Finding the Fourth Proportional to 8,419.68, 12,629.72 and 3,485.97

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Solution

The fourth proportional to 8,419.68, 12,629.72 and 3,485.97 is: 5,229.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.68 : 12,629.72 = 3,485.97 : x
  2. Step 2: Convert to fraction form
    8,419.68/12,629.72 = 3,485.97/x
  3. Step 3: Cross multiply
    8,419.68x = 12,629.72 × 3,485.97
  4. Step 4: Simplify right side
    8,419.68x = 44,026,825.03
  5. Step 5: Solve for x
    x = 44,026,825.03/8,419.68
  6. Step 6: Final answer
    x = 5,229.04

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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.