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Finding the Fourth Proportional to 6,817.51, 9,408.05 and 3,833.95

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Solution

The fourth proportional to 6,817.51, 9,408.05 and 3,833.95 is: 5,290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.51 : 9,408.05 = 3,833.95 : x
  2. Step 2: Convert to fraction form
    6,817.51/9,408.05 = 3,833.95/x
  3. Step 3: Cross multiply
    6,817.51x = 9,408.05 × 3,833.95
  4. Step 4: Simplify right side
    6,817.51x = 36,069,993.30
  5. Step 5: Solve for x
    x = 36,069,993.30/6,817.51
  6. Step 6: Final answer
    x = 5,290.79

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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.