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Finding the Fourth Proportional to 6,823.70, 9,419.34 and 4,591.94

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Solution

The fourth proportional to 6,823.70, 9,419.34 and 4,591.94 is: 6,338.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.70 : 9,419.34 = 4,591.94 : x
  2. Step 2: Convert to fraction form
    6,823.70/9,419.34 = 4,591.94/x
  3. Step 3: Cross multiply
    6,823.70x = 9,419.34 × 4,591.94
  4. Step 4: Simplify right side
    6,823.70x = 43,252,997.02
  5. Step 5: Solve for x
    x = 43,252,997.02/6,823.70
  6. Step 6: Final answer
    x = 6,338.65

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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.