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Finding the Fourth Proportional to 6,013.64, 9,024.51 and 3,611.33

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Solution

The fourth proportional to 6,013.64, 9,024.51 and 3,611.33 is: 5,419.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013.64 : 9,024.51 = 3,611.33 : x
  2. Step 2: Convert to fraction form
    6,013.64/9,024.51 = 3,611.33/x
  3. Step 3: Cross multiply
    6,013.64x = 9,024.51 × 3,611.33
  4. Step 4: Simplify right side
    6,013.64x = 32,590,536.72
  5. Step 5: Solve for x
    x = 32,590,536.72/6,013.64
  6. Step 6: Final answer
    x = 5,419.43

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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.