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Finding the Fourth Proportional to 9,175.44, 12,662.81 and 5,197.15

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Solution

The fourth proportional to 9,175.44, 12,662.81 and 5,197.15 is: 7,172.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.44 : 12,662.81 = 5,197.15 : x
  2. Step 2: Convert to fraction form
    9,175.44/12,662.81 = 5,197.15/x
  3. Step 3: Cross multiply
    9,175.44x = 12,662.81 × 5,197.15
  4. Step 4: Simplify right side
    9,175.44x = 65,810,522.99
  5. Step 5: Solve for x
    x = 65,810,522.99/9,175.44
  6. Step 6: Final answer
    x = 7,172.47

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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.