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Finding the Fourth Proportional to 6,093.36, 9,148.41 and 3,134.24

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Solution

The fourth proportional to 6,093.36, 9,148.41 and 3,134.24 is: 4,705.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.36 : 9,148.41 = 3,134.24 : x
  2. Step 2: Convert to fraction form
    6,093.36/9,148.41 = 3,134.24/x
  3. Step 3: Cross multiply
    6,093.36x = 9,148.41 × 3,134.24
  4. Step 4: Simplify right side
    6,093.36x = 28,673,349.28
  5. Step 5: Solve for x
    x = 28,673,349.28/6,093.36
  6. Step 6: Final answer
    x = 4,705.67

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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.