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Finding the Fourth Proportional to 9.45, 13.04 and 6.21

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Solution

The fourth proportional to 9.45, 13.04 and 6.21 is: 8.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.45 : 13.04 = 6.21 : x
  2. Step 2: Convert to fraction form
    9.45/13.04 = 6.21/x
  3. Step 3: Cross multiply
    9.45x = 13.04 × 6.21
  4. Step 4: Simplify right side
    9.45x = 80.95
  5. Step 5: Solve for x
    x = 80.95/9.45
  6. Step 6: Final answer
    x = 8.57

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