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Finding the Fourth Proportional to 6,846.86, 9,450.12 and 4,327.36

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Solution

The fourth proportional to 6,846.86, 9,450.12 and 4,327.36 is: 5,972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.86 : 9,450.12 = 4,327.36 : x
  2. Step 2: Convert to fraction form
    6,846.86/9,450.12 = 4,327.36/x
  3. Step 3: Cross multiply
    6,846.86x = 9,450.12 × 4,327.36
  4. Step 4: Simplify right side
    6,846.86x = 40,894,024.03
  5. Step 5: Solve for x
    x = 40,894,024.03/6,846.86
  6. Step 6: Final answer
    x = 5,972.67

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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.