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Finding the Fourth Proportional to 9,351.96, 14,027.92 and 3,804.06

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Solution

The fourth proportional to 9,351.96, 14,027.92 and 3,804.06 is: 5,706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.96 : 14,027.92 = 3,804.06 : x
  2. Step 2: Convert to fraction form
    9,351.96/14,027.92 = 3,804.06/x
  3. Step 3: Cross multiply
    9,351.96x = 14,027.92 × 3,804.06
  4. Step 4: Simplify right side
    9,351.96x = 53,363,092.45
  5. Step 5: Solve for x
    x = 53,363,092.45/9,351.96
  6. Step 6: Final answer
    x = 5,706.09

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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.