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Finding the Fourth Proportional to 9,072.62, 13,607.36 and 2,497.24

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Solution

The fourth proportional to 9,072.62, 13,607.36 and 2,497.24 is: 3,745.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.62 : 13,607.36 = 2,497.24 : x
  2. Step 2: Convert to fraction form
    9,072.62/13,607.36 = 2,497.24/x
  3. Step 3: Cross multiply
    9,072.62x = 13,607.36 × 2,497.24
  4. Step 4: Simplify right side
    9,072.62x = 33,980,857.57
  5. Step 5: Solve for x
    x = 33,980,857.57/9,072.62
  6. Step 6: Final answer
    x = 3,745.43

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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.