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Finding the Fourth Proportional to 7,190.42, 9,922.85 and 4,205.67

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Solution

The fourth proportional to 7,190.42, 9,922.85 and 4,205.67 is: 5,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.42 : 9,922.85 = 4,205.67 : x
  2. Step 2: Convert to fraction form
    7,190.42/9,922.85 = 4,205.67/x
  3. Step 3: Cross multiply
    7,190.42x = 9,922.85 × 4,205.67
  4. Step 4: Simplify right side
    7,190.42x = 41,732,269.56
  5. Step 5: Solve for x
    x = 41,732,269.56/7,190.42
  6. Step 6: Final answer
    x = 5,803.87

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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.