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Finding the Fourth Proportional to 9,175.09, 12,662.41 and 5,196.91

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Solution

The fourth proportional to 9,175.09, 12,662.41 and 5,196.91 is: 7,172.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.09 : 12,662.41 = 5,196.91 : x
  2. Step 2: Convert to fraction form
    9,175.09/12,662.41 = 5,196.91/x
  3. Step 3: Cross multiply
    9,175.09x = 12,662.41 × 5,196.91
  4. Step 4: Simplify right side
    9,175.09x = 65,805,405.15
  5. Step 5: Solve for x
    x = 65,805,405.15/9,175.09
  6. Step 6: Final answer
    x = 7,172.18

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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.