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Finding the Fourth Proportional to 9,872.25, 14,814.81 and 3,632.31

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Solution

The fourth proportional to 9,872.25, 14,814.81 and 3,632.31 is: 5,450.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.25 : 14,814.81 = 3,632.31 : x
  2. Step 2: Convert to fraction form
    9,872.25/14,814.81 = 3,632.31/x
  3. Step 3: Cross multiply
    9,872.25x = 14,814.81 × 3,632.31
  4. Step 4: Simplify right side
    9,872.25x = 53,811,982.51
  5. Step 5: Solve for x
    x = 53,811,982.51/9,872.25
  6. Step 6: Final answer
    x = 5,450.83

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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.