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Finding the Fourth Proportional to 9.98, 14.86 and 9.78

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Solution

The fourth proportional to 9.98, 14.86 and 9.78 is: 14.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.98 : 14.86 = 9.78 : x
  2. Step 2: Convert to fraction form
    9.98/14.86 = 9.78/x
  3. Step 3: Cross multiply
    9.98x = 14.86 × 9.78
  4. Step 4: Simplify right side
    9.98x = 145.28
  5. Step 5: Solve for x
    x = 145.28/9.98
  6. Step 6: Final answer
    x = 14.56

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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.