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Finding the Fourth Proportional to 6,853.98, 9,462.96 and 4,202.85

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Solution

The fourth proportional to 6,853.98, 9,462.96 and 4,202.85 is: 5,802.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.98 : 9,462.96 = 4,202.85 : x
  2. Step 2: Convert to fraction form
    6,853.98/9,462.96 = 4,202.85/x
  3. Step 3: Cross multiply
    6,853.98x = 9,462.96 × 4,202.85
  4. Step 4: Simplify right side
    6,853.98x = 39,771,401.44
  5. Step 5: Solve for x
    x = 39,771,401.44/6,853.98
  6. Step 6: Final answer
    x = 5,802.67

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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.