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Finding the Fourth Proportional to 6,801.99, 9,386.74 and 3,817.83

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Solution

The fourth proportional to 6,801.99, 9,386.74 and 3,817.83 is: 5,268.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.99 : 9,386.74 = 3,817.83 : x
  2. Step 2: Convert to fraction form
    6,801.99/9,386.74 = 3,817.83/x
  3. Step 3: Cross multiply
    6,801.99x = 9,386.74 × 3,817.83
  4. Step 4: Simplify right side
    6,801.99x = 35,836,972.58
  5. Step 5: Solve for x
    x = 35,836,972.58/6,801.99
  6. Step 6: Final answer
    x = 5,268.60

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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.