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Finding the Fourth Proportional to 6,359.75, 9,542.25 and 3,434.61

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Solution

The fourth proportional to 6,359.75, 9,542.25 and 3,434.61 is: 5,153.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.75 : 9,542.25 = 3,434.61 : x
  2. Step 2: Convert to fraction form
    6,359.75/9,542.25 = 3,434.61/x
  3. Step 3: Cross multiply
    6,359.75x = 9,542.25 × 3,434.61
  4. Step 4: Simplify right side
    6,359.75x = 32,773,907.27
  5. Step 5: Solve for x
    x = 32,773,907.27/6,359.75
  6. Step 6: Final answer
    x = 5,153.33

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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.