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Finding the Fourth Proportional to 8,735.44, 12,055.10 and 6,849.28

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Solution

The fourth proportional to 8,735.44, 12,055.10 and 6,849.28 is: 9,452.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.44 : 12,055.10 = 6,849.28 : x
  2. Step 2: Convert to fraction form
    8,735.44/12,055.10 = 6,849.28/x
  3. Step 3: Cross multiply
    8,735.44x = 12,055.10 × 6,849.28
  4. Step 4: Simplify right side
    8,735.44x = 82,568,755.33
  5. Step 5: Solve for x
    x = 82,568,755.33/8,735.44
  6. Step 6: Final answer
    x = 9,452.16

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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.