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Finding the Fourth Proportional to 9,504.82, 14,243.31 and 5,352.92

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Solution

The fourth proportional to 9,504.82, 14,243.31 and 5,352.92 is: 8,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.82 : 14,243.31 = 5,352.92 : x
  2. Step 2: Convert to fraction form
    9,504.82/14,243.31 = 5,352.92/x
  3. Step 3: Cross multiply
    9,504.82x = 14,243.31 × 5,352.92
  4. Step 4: Simplify right side
    9,504.82x = 76,243,298.97
  5. Step 5: Solve for x
    x = 76,243,298.97/9,504.82
  6. Step 6: Final answer
    x = 8,021.54

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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.