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Finding the Fourth Proportional to 6,346.63, 9,520.40 and 1,963.52

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Solution

The fourth proportional to 6,346.63, 9,520.40 and 1,963.52 is: 2,945.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.63 : 9,520.40 = 1,963.52 : x
  2. Step 2: Convert to fraction form
    6,346.63/9,520.40 = 1,963.52/x
  3. Step 3: Cross multiply
    6,346.63x = 9,520.40 × 1,963.52
  4. Step 4: Simplify right side
    6,346.63x = 18,693,485.99
  5. Step 5: Solve for x
    x = 18,693,485.99/6,346.63
  6. Step 6: Final answer
    x = 2,945.42

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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.