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Finding the Fourth Proportional to 8,428.86, 12,642.35 and 3,231.09

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Solution

The fourth proportional to 8,428.86, 12,642.35 and 3,231.09 is: 4,846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.86 : 12,642.35 = 3,231.09 : x
  2. Step 2: Convert to fraction form
    8,428.86/12,642.35 = 3,231.09/x
  3. Step 3: Cross multiply
    8,428.86x = 12,642.35 × 3,231.09
  4. Step 4: Simplify right side
    8,428.86x = 40,848,554.51
  5. Step 5: Solve for x
    x = 40,848,554.51/8,428.86
  6. Step 6: Final answer
    x = 4,846.27

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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.