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Finding the Fourth Proportional to 6,537.05, 9,021.92 and 3,884.47

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Solution

The fourth proportional to 6,537.05, 9,021.92 and 3,884.47 is: 5,361.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.05 : 9,021.92 = 3,884.47 : x
  2. Step 2: Convert to fraction form
    6,537.05/9,021.92 = 3,884.47/x
  3. Step 3: Cross multiply
    6,537.05x = 9,021.92 × 3,884.47
  4. Step 4: Simplify right side
    6,537.05x = 35,045,386.35
  5. Step 5: Solve for x
    x = 35,045,386.35/6,537.05
  6. Step 6: Final answer
    x = 5,361.04

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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.