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Finding the Fourth Proportional to 6,806.74, 9,394.32 and 4,155.68

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Solution

The fourth proportional to 6,806.74, 9,394.32 and 4,155.68 is: 5,735.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.74 : 9,394.32 = 4,155.68 : x
  2. Step 2: Convert to fraction form
    6,806.74/9,394.32 = 4,155.68/x
  3. Step 3: Cross multiply
    6,806.74x = 9,394.32 × 4,155.68
  4. Step 4: Simplify right side
    6,806.74x = 39,039,787.74
  5. Step 5: Solve for x
    x = 39,039,787.74/6,806.74
  6. Step 6: Final answer
    x = 5,735.46

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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.