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Finding the Fourth Proportional to 9,749.72, 13,450.32 and 6,212.12

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Solution

The fourth proportional to 9,749.72, 13,450.32 and 6,212.12 is: 8,569.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.72 : 13,450.32 = 6,212.12 : x
  2. Step 2: Convert to fraction form
    9,749.72/13,450.32 = 6,212.12/x
  3. Step 3: Cross multiply
    9,749.72x = 13,450.32 × 6,212.12
  4. Step 4: Simplify right side
    9,749.72x = 83,555,001.88
  5. Step 5: Solve for x
    x = 83,555,001.88/9,749.72
  6. Step 6: Final answer
    x = 8,569.99

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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.