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Finding the Fourth Proportional to 6,072.57, 9,089.62 and 3,987.63

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Solution

The fourth proportional to 6,072.57, 9,089.62 and 3,987.63 is: 5,968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.57 : 9,089.62 = 3,987.63 : x
  2. Step 2: Convert to fraction form
    6,072.57/9,089.62 = 3,987.63/x
  3. Step 3: Cross multiply
    6,072.57x = 9,089.62 × 3,987.63
  4. Step 4: Simplify right side
    6,072.57x = 36,246,031.43
  5. Step 5: Solve for x
    x = 36,246,031.43/6,072.57
  6. Step 6: Final answer
    x = 5,968.81

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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.