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Finding the Fourth Proportional to 9,496.39, 14,247.48 and 6,728.42

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Solution

The fourth proportional to 9,496.39, 14,247.48 and 6,728.42 is: 10,094.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.39 : 14,247.48 = 6,728.42 : x
  2. Step 2: Convert to fraction form
    9,496.39/14,247.48 = 6,728.42/x
  3. Step 3: Cross multiply
    9,496.39x = 14,247.48 × 6,728.42
  4. Step 4: Simplify right side
    9,496.39x = 95,863,029.38
  5. Step 5: Solve for x
    x = 95,863,029.38/9,496.39
  6. Step 6: Final answer
    x = 10,094.68

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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.