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Finding the Fourth Proportional to 9,186.12, 13,771.08 and 6,843.20

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Solution

The fourth proportional to 9,186.12, 13,771.08 and 6,843.20 is: 10,258.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.12 : 13,771.08 = 6,843.20 : x
  2. Step 2: Convert to fraction form
    9,186.12/13,771.08 = 6,843.20/x
  3. Step 3: Cross multiply
    9,186.12x = 13,771.08 × 6,843.20
  4. Step 4: Simplify right side
    9,186.12x = 94,238,185.80
  5. Step 5: Solve for x
    x = 94,238,185.80/9,186.12
  6. Step 6: Final answer
    x = 10,258.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.