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Finding the Fourth Proportional to 9.99, 13.86 and 9.89

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Solution

The fourth proportional to 9.99, 13.86 and 9.89 is: 13.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.99 : 13.86 = 9.89 : x
  2. Step 2: Convert to fraction form
    9.99/13.86 = 9.89/x
  3. Step 3: Cross multiply
    9.99x = 13.86 × 9.89
  4. Step 4: Simplify right side
    9.99x = 137.01
  5. Step 5: Solve for x
    x = 137.01/9.99
  6. Step 6: Final answer
    x = 13.71

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.