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Finding the Fourth Proportional to 9,183.03, 12,672.98 and 5,647.41

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Solution

The fourth proportional to 9,183.03, 12,672.98 and 5,647.41 is: 7,793.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.03 : 12,672.98 = 5,647.41 : x
  2. Step 2: Convert to fraction form
    9,183.03/12,672.98 = 5,647.41/x
  3. Step 3: Cross multiply
    9,183.03x = 12,672.98 × 5,647.41
  4. Step 4: Simplify right side
    9,183.03x = 71,569,485.74
  5. Step 5: Solve for x
    x = 71,569,485.74/9,183.03
  6. Step 6: Final answer
    x = 7,793.67

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Why These Related Problems?

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