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Finding the Fourth Proportional to 9.86, 14.68 and 9.28

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Solution

The fourth proportional to 9.86, 14.68 and 9.28 is: 13.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.86 : 14.68 = 9.28 : x
  2. Step 2: Convert to fraction form
    9.86/14.68 = 9.28/x
  3. Step 3: Cross multiply
    9.86x = 14.68 × 9.28
  4. Step 4: Simplify right side
    9.86x = 136.18
  5. Step 5: Solve for x
    x = 136.18/9.86
  6. Step 6: Final answer
    x = 13.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.