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Finding the Fourth Proportional to 9.16, 13.74 and 3.82

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Solution

The fourth proportional to 9.16, 13.74 and 3.82 is: 5.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.16 : 13.74 = 3.82 : x
  2. Step 2: Convert to fraction form
    9.16/13.74 = 3.82/x
  3. Step 3: Cross multiply
    9.16x = 13.74 × 3.82
  4. Step 4: Simplify right side
    9.16x = 52.42
  5. Step 5: Solve for x
    x = 52.42/9.16
  6. Step 6: Final answer
    x = 5.73

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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.