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Finding the Fourth Proportional to 6,543.86, 9,031.37 and 3,892.73

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Solution

The fourth proportional to 6,543.86, 9,031.37 and 3,892.73 is: 5,372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.86 : 9,031.37 = 3,892.73 : x
  2. Step 2: Convert to fraction form
    6,543.86/9,031.37 = 3,892.73/x
  3. Step 3: Cross multiply
    6,543.86x = 9,031.37 × 3,892.73
  4. Step 4: Simplify right side
    6,543.86x = 35,156,620.32
  5. Step 5: Solve for x
    x = 35,156,620.32/6,543.86
  6. Step 6: Final answer
    x = 5,372.46

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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.