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Finding the Fourth Proportional to 6,804.54, 9,382.23 and 5,806.62

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Solution

The fourth proportional to 6,804.54, 9,382.23 and 5,806.62 is: 8,006.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.54 : 9,382.23 = 5,806.62 : x
  2. Step 2: Convert to fraction form
    6,804.54/9,382.23 = 5,806.62/x
  3. Step 3: Cross multiply
    6,804.54x = 9,382.23 × 5,806.62
  4. Step 4: Simplify right side
    6,804.54x = 54,479,044.36
  5. Step 5: Solve for x
    x = 54,479,044.36/6,804.54
  6. Step 6: Final answer
    x = 8,006.28

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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.