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Finding the Fourth Proportional to 6,338.41, 9,516.24 and 3,567.04

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Solution

The fourth proportional to 6,338.41, 9,516.24 and 3,567.04 is: 5,355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.41 : 9,516.24 = 3,567.04 : x
  2. Step 2: Convert to fraction form
    6,338.41/9,516.24 = 3,567.04/x
  3. Step 3: Cross multiply
    6,338.41x = 9,516.24 × 3,567.04
  4. Step 4: Simplify right side
    6,338.41x = 33,944,808.73
  5. Step 5: Solve for x
    x = 33,944,808.73/6,338.41
  6. Step 6: Final answer
    x = 5,355.41

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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.