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Finding the Fourth Proportional to 9.74, 14.61 and 5.73

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Solution

The fourth proportional to 9.74, 14.61 and 5.73 is: 8.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.74 : 14.61 = 5.73 : x
  2. Step 2: Convert to fraction form
    9.74/14.61 = 5.73/x
  3. Step 3: Cross multiply
    9.74x = 14.61 × 5.73
  4. Step 4: Simplify right side
    9.74x = 83.72
  5. Step 5: Solve for x
    x = 83.72/9.74
  6. Step 6: Final answer
    x = 8.60

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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.