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Finding the Fourth Proportional to 9,608.53, 13,257.75 and 5,833.68

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Solution

The fourth proportional to 9,608.53, 13,257.75 and 5,833.68 is: 8,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.53 : 13,257.75 = 5,833.68 : x
  2. Step 2: Convert to fraction form
    9,608.53/13,257.75 = 5,833.68/x
  3. Step 3: Cross multiply
    9,608.53x = 13,257.75 × 5,833.68
  4. Step 4: Simplify right side
    9,608.53x = 77,341,471.02
  5. Step 5: Solve for x
    x = 77,341,471.02/9,608.53
  6. Step 6: Final answer
    x = 8,049.25

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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.