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Finding the Fourth Proportional to 8,219.91, 12,323.42 and 3,536.09

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Solution

The fourth proportional to 8,219.91, 12,323.42 and 3,536.09 is: 5,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.91 : 12,323.42 = 3,536.09 : x
  2. Step 2: Convert to fraction form
    8,219.91/12,323.42 = 3,536.09/x
  3. Step 3: Cross multiply
    8,219.91x = 12,323.42 × 3,536.09
  4. Step 4: Simplify right side
    8,219.91x = 43,576,642.93
  5. Step 5: Solve for x
    x = 43,576,642.93/8,219.91
  6. Step 6: Final answer
    x = 5,301.35

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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.