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Finding the Fourth Proportional to 9,012.26, 12,443.06 and 5,833.25

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Solution

The fourth proportional to 9,012.26, 12,443.06 and 5,833.25 is: 8,053.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,012.26 : 12,443.06 = 5,833.25 : x
  2. Step 2: Convert to fraction form
    9,012.26/12,443.06 = 5,833.25/x
  3. Step 3: Cross multiply
    9,012.26x = 12,443.06 × 5,833.25
  4. Step 4: Simplify right side
    9,012.26x = 72,583,469.48
  5. Step 5: Solve for x
    x = 72,583,469.48/9,012.26
  6. Step 6: Final answer
    x = 8,053.86

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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.