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Finding the Fourth Proportional to 6,319.33, 9,484.82 and 3,201.53

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Solution

The fourth proportional to 6,319.33, 9,484.82 and 3,201.53 is: 4,805.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.33 : 9,484.82 = 3,201.53 : x
  2. Step 2: Convert to fraction form
    6,319.33/9,484.82 = 3,201.53/x
  3. Step 3: Cross multiply
    6,319.33x = 9,484.82 × 3,201.53
  4. Step 4: Simplify right side
    6,319.33x = 30,365,893.35
  5. Step 5: Solve for x
    x = 30,365,893.35/6,319.33
  6. Step 6: Final answer
    x = 4,805.24

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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.