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Finding the Fourth Proportional to 6,212.04, 9,302.19 and 3,435.67

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Solution

The fourth proportional to 6,212.04, 9,302.19 and 3,435.67 is: 5,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.04 : 9,302.19 = 3,435.67 : x
  2. Step 2: Convert to fraction form
    6,212.04/9,302.19 = 3,435.67/x
  3. Step 3: Cross multiply
    6,212.04x = 9,302.19 × 3,435.67
  4. Step 4: Simplify right side
    6,212.04x = 31,959,255.12
  5. Step 5: Solve for x
    x = 31,959,255.12/6,212.04
  6. Step 6: Final answer
    x = 5,144.73

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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.