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Finding the Fourth Proportional to 6,419.90, 9,629.30 and 2,524.29

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Solution

The fourth proportional to 6,419.90, 9,629.30 and 2,524.29 is: 3,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.90 : 9,629.30 = 2,524.29 : x
  2. Step 2: Convert to fraction form
    6,419.90/9,629.30 = 2,524.29/x
  3. Step 3: Cross multiply
    6,419.90x = 9,629.30 × 2,524.29
  4. Step 4: Simplify right side
    6,419.90x = 24,307,133.08
  5. Step 5: Solve for x
    x = 24,307,133.08/6,419.90
  6. Step 6: Final answer
    x = 3,786.22

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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.