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Finding the Fourth Proportional to 6,824.10, 9,419.94 and 4,305.76

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Solution

The fourth proportional to 6,824.10, 9,419.94 and 4,305.76 is: 5,943.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.10 : 9,419.94 = 4,305.76 : x
  2. Step 2: Convert to fraction form
    6,824.10/9,419.94 = 4,305.76/x
  3. Step 3: Cross multiply
    6,824.10x = 9,419.94 × 4,305.76
  4. Step 4: Simplify right side
    6,824.10x = 40,560,000.85
  5. Step 5: Solve for x
    x = 40,560,000.85/6,824.10
  6. Step 6: Final answer
    x = 5,943.64

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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.