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Finding the Fourth Proportional to 6,142.56, 9,195.48 and 3,763.15

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Solution

The fourth proportional to 6,142.56, 9,195.48 and 3,763.15 is: 5,633.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.56 : 9,195.48 = 3,763.15 : x
  2. Step 2: Convert to fraction form
    6,142.56/9,195.48 = 3,763.15/x
  3. Step 3: Cross multiply
    6,142.56x = 9,195.48 × 3,763.15
  4. Step 4: Simplify right side
    6,142.56x = 34,603,924.58
  5. Step 5: Solve for x
    x = 34,603,924.58/6,142.56
  6. Step 6: Final answer
    x = 5,633.47

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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.