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Finding the Fourth Proportional to 6,552.48, 9,835.72 and 3,633.24

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Solution

The fourth proportional to 6,552.48, 9,835.72 and 3,633.24 is: 5,453.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.48 : 9,835.72 = 3,633.24 : x
  2. Step 2: Convert to fraction form
    6,552.48/9,835.72 = 3,633.24/x
  3. Step 3: Cross multiply
    6,552.48x = 9,835.72 × 3,633.24
  4. Step 4: Simplify right side
    6,552.48x = 35,735,531.33
  5. Step 5: Solve for x
    x = 35,735,531.33/6,552.48
  6. Step 6: Final answer
    x = 5,453.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.