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Finding the Fourth Proportional to 6,822.79, 9,418.77 and 4,308.55

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Solution

The fourth proportional to 6,822.79, 9,418.77 and 4,308.55 is: 5,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.79 : 9,418.77 = 4,308.55 : x
  2. Step 2: Convert to fraction form
    6,822.79/9,418.77 = 4,308.55/x
  3. Step 3: Cross multiply
    6,822.79x = 9,418.77 × 4,308.55
  4. Step 4: Simplify right side
    6,822.79x = 40,581,241.48
  5. Step 5: Solve for x
    x = 40,581,241.48/6,822.79
  6. Step 6: Final answer
    x = 5,947.90

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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.