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Finding the Fourth Proportional to 9.58, 13.24 and 7

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Solution

The fourth proportional to 9.58, 13.24 and 7 is: 9.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.58 : 13.24 = 7 : x
  2. Step 2: Convert to fraction form
    9.58/13.24 = 7/x
  3. Step 3: Cross multiply
    9.58x = 13.24 × 7
  4. Step 4: Simplify right side
    9.58x = 92.68
  5. Step 5: Solve for x
    x = 92.68/9.58
  6. Step 6: Final answer
    x = 9.67

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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.