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Finding the Fourth Proportional to 6,424.26, 8,866.96 and 4,182.23

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Solution

The fourth proportional to 6,424.26, 8,866.96 and 4,182.23 is: 5,772.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.26 : 8,866.96 = 4,182.23 : x
  2. Step 2: Convert to fraction form
    6,424.26/8,866.96 = 4,182.23/x
  3. Step 3: Cross multiply
    6,424.26x = 8,866.96 × 4,182.23
  4. Step 4: Simplify right side
    6,424.26x = 37,083,677.83
  5. Step 5: Solve for x
    x = 37,083,677.83/6,424.26
  6. Step 6: Final answer
    x = 5,772.44

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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.