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Finding the Fourth Proportional to 9,175.92, 12,662.48 and 5,197.40

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Solution

The fourth proportional to 9,175.92, 12,662.48 and 5,197.40 is: 7,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.92 : 12,662.48 = 5,197.40 : x
  2. Step 2: Convert to fraction form
    9,175.92/12,662.48 = 5,197.40/x
  3. Step 3: Cross multiply
    9,175.92x = 12,662.48 × 5,197.40
  4. Step 4: Simplify right side
    9,175.92x = 65,811,973.55
  5. Step 5: Solve for x
    x = 65,811,973.55/9,175.92
  6. Step 6: Final answer
    x = 7,172.25

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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.