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Finding the Fourth Proportional to 9.96, 13.74 and 9.84

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Solution

The fourth proportional to 9.96, 13.74 and 9.84 is: 13.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.96 : 13.74 = 9.84 : x
  2. Step 2: Convert to fraction form
    9.96/13.74 = 9.84/x
  3. Step 3: Cross multiply
    9.96x = 13.74 × 9.84
  4. Step 4: Simplify right side
    9.96x = 135.20
  5. Step 5: Solve for x
    x = 135.20/9.96
  6. Step 6: Final answer
    x = 13.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.