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Finding the Fourth Proportional to 6,365.75, 9,542.85 and 3,440.63

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Solution

The fourth proportional to 6,365.75, 9,542.85 and 3,440.63 is: 5,157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.75 : 9,542.85 = 3,440.63 : x
  2. Step 2: Convert to fraction form
    6,365.75/9,542.85 = 3,440.63/x
  3. Step 3: Cross multiply
    6,365.75x = 9,542.85 × 3,440.63
  4. Step 4: Simplify right side
    6,365.75x = 32,833,426.95
  5. Step 5: Solve for x
    x = 32,833,426.95/6,365.75
  6. Step 6: Final answer
    x = 5,157.83

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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.