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Finding the Fourth Proportional to 9,175.72, 12,662.94 and 5,197

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Solution

The fourth proportional to 9,175.72, 12,662.94 and 5,197 is: 7,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.72 : 12,662.94 = 5,197 : x
  2. Step 2: Convert to fraction form
    9,175.72/12,662.94 = 5,197/x
  3. Step 3: Cross multiply
    9,175.72x = 12,662.94 × 5,197
  4. Step 4: Simplify right side
    9,175.72x = 65,809,299.18
  5. Step 5: Solve for x
    x = 65,809,299.18/9,175.72
  6. Step 6: Final answer
    x = 7,172.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.