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Finding the Fourth Proportional to 9,523.36, 13,221.40 and 9,238.24

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Solution

The fourth proportional to 9,523.36, 13,221.40 and 9,238.24 is: 12,825.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.36 : 13,221.40 = 9,238.24 : x
  2. Step 2: Convert to fraction form
    9,523.36/13,221.40 = 9,238.24/x
  3. Step 3: Cross multiply
    9,523.36x = 13,221.40 × 9,238.24
  4. Step 4: Simplify right side
    9,523.36x = 122,142,466.34
  5. Step 5: Solve for x
    x = 122,142,466.34/9,523.36
  6. Step 6: Final answer
    x = 12,825.56

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.