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Finding the Fourth Proportional to 7,177.85, 9,906.62 and 4,193.67

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Solution

The fourth proportional to 7,177.85, 9,906.62 and 4,193.67 is: 5,787.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.85 : 9,906.62 = 4,193.67 : x
  2. Step 2: Convert to fraction form
    7,177.85/9,906.62 = 4,193.67/x
  3. Step 3: Cross multiply
    7,177.85x = 9,906.62 × 4,193.67
  4. Step 4: Simplify right side
    7,177.85x = 41,545,074.13
  5. Step 5: Solve for x
    x = 41,545,074.13/7,177.85
  6. Step 6: Final answer
    x = 5,787.96

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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.