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Finding the Fourth Proportional to 6,015.68, 9,026.72 and 3,825.44

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Solution

The fourth proportional to 6,015.68, 9,026.72 and 3,825.44 is: 5,740.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,015.68 : 9,026.72 = 3,825.44 : x
  2. Step 2: Convert to fraction form
    6,015.68/9,026.72 = 3,825.44/x
  3. Step 3: Cross multiply
    6,015.68x = 9,026.72 × 3,825.44
  4. Step 4: Simplify right side
    6,015.68x = 34,531,175.76
  5. Step 5: Solve for x
    x = 34,531,175.76/6,015.68
  6. Step 6: Final answer
    x = 5,740.19

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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.