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Finding the Fourth Proportional to 9,608.33, 13,257.47 and 5,833.48

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Solution

The fourth proportional to 9,608.33, 13,257.47 and 5,833.48 is: 8,048.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.33 : 13,257.47 = 5,833.48 : x
  2. Step 2: Convert to fraction form
    9,608.33/13,257.47 = 5,833.48/x
  3. Step 3: Cross multiply
    9,608.33x = 13,257.47 × 5,833.48
  4. Step 4: Simplify right side
    9,608.33x = 77,337,167.54
  5. Step 5: Solve for x
    x = 77,337,167.54/9,608.33
  6. Step 6: Final answer
    x = 8,048.97

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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.