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Finding the Fourth Proportional to 9,107.82, 13,651.48 and 4,653.03

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Solution

The fourth proportional to 9,107.82, 13,651.48 and 4,653.03 is: 6,974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.82 : 13,651.48 = 4,653.03 : x
  2. Step 2: Convert to fraction form
    9,107.82/13,651.48 = 4,653.03/x
  3. Step 3: Cross multiply
    9,107.82x = 13,651.48 × 4,653.03
  4. Step 4: Simplify right side
    9,107.82x = 63,520,745.98
  5. Step 5: Solve for x
    x = 63,520,745.98/9,107.82
  6. Step 6: Final answer
    x = 6,974.31

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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.