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Finding the Fourth Proportional to 9,367.48, 13,982.89 and 8,185.16

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Solution

The fourth proportional to 9,367.48, 13,982.89 and 8,185.16 is: 12,218.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.48 : 13,982.89 = 8,185.16 : x
  2. Step 2: Convert to fraction form
    9,367.48/13,982.89 = 8,185.16/x
  3. Step 3: Cross multiply
    9,367.48x = 13,982.89 × 8,185.16
  4. Step 4: Simplify right side
    9,367.48x = 114,452,120.08
  5. Step 5: Solve for x
    x = 114,452,120.08/9,367.48
  6. Step 6: Final answer
    x = 12,218.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.