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Finding the Fourth Proportional to 9,745.56, 14,622.39 and 5,362.65

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Solution

The fourth proportional to 9,745.56, 14,622.39 and 5,362.65 is: 8,046.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.56 : 14,622.39 = 5,362.65 : x
  2. Step 2: Convert to fraction form
    9,745.56/14,622.39 = 5,362.65/x
  3. Step 3: Cross multiply
    9,745.56x = 14,622.39 × 5,362.65
  4. Step 4: Simplify right side
    9,745.56x = 78,414,759.73
  5. Step 5: Solve for x
    x = 78,414,759.73/9,745.56
  6. Step 6: Final answer
    x = 8,046.20

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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.