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Finding the Fourth Proportional to 9,219.57, 13,830.72 and 3,375.73

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Solution

The fourth proportional to 9,219.57, 13,830.72 and 3,375.73 is: 5,064.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.57 : 13,830.72 = 3,375.73 : x
  2. Step 2: Convert to fraction form
    9,219.57/13,830.72 = 3,375.73/x
  3. Step 3: Cross multiply
    9,219.57x = 13,830.72 × 3,375.73
  4. Step 4: Simplify right side
    9,219.57x = 46,688,707.27
  5. Step 5: Solve for x
    x = 46,688,707.27/9,219.57
  6. Step 6: Final answer
    x = 5,064.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.