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Finding the Fourth Proportional to 6,021.44, 9,032.16 and 3,968.96

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Solution

The fourth proportional to 6,021.44, 9,032.16 and 3,968.96 is: 5,953.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,021.44 : 9,032.16 = 3,968.96 : x
  2. Step 2: Convert to fraction form
    6,021.44/9,032.16 = 3,968.96/x
  3. Step 3: Cross multiply
    6,021.44x = 9,032.16 × 3,968.96
  4. Step 4: Simplify right side
    6,021.44x = 35,848,281.75
  5. Step 5: Solve for x
    x = 35,848,281.75/6,021.44
  6. Step 6: Final answer
    x = 5,953.44

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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.