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Finding the Fourth Proportional to 6,092.49, 8,402.73 and 4,203.63

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Solution

The fourth proportional to 6,092.49, 8,402.73 and 4,203.63 is: 5,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.49 : 8,402.73 = 4,203.63 : x
  2. Step 2: Convert to fraction form
    6,092.49/8,402.73 = 4,203.63/x
  3. Step 3: Cross multiply
    6,092.49x = 8,402.73 × 4,203.63
  4. Step 4: Simplify right side
    6,092.49x = 35,321,967.91
  5. Step 5: Solve for x
    x = 35,321,967.91/6,092.49
  6. Step 6: Final answer
    x = 5,797.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.