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Finding the Fourth Proportional to 6,369.23, 9,542.50 and 5,435.30

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Solution

The fourth proportional to 6,369.23, 9,542.50 and 5,435.30 is: 8,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.23 : 9,542.50 = 5,435.30 : x
  2. Step 2: Convert to fraction form
    6,369.23/9,542.50 = 5,435.30/x
  3. Step 3: Cross multiply
    6,369.23x = 9,542.50 × 5,435.30
  4. Step 4: Simplify right side
    6,369.23x = 51,866,302.54
  5. Step 5: Solve for x
    x = 51,866,302.54/6,369.23
  6. Step 6: Final answer
    x = 8,143.27

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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.