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Finding the Fourth Proportional to 6,881.96, 9,497.32 and 3,898.23

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Solution

The fourth proportional to 6,881.96, 9,497.32 and 3,898.23 is: 5,379.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.96 : 9,497.32 = 3,898.23 : x
  2. Step 2: Convert to fraction form
    6,881.96/9,497.32 = 3,898.23/x
  3. Step 3: Cross multiply
    6,881.96x = 9,497.32 × 3,898.23
  4. Step 4: Simplify right side
    6,881.96x = 37,022,692.38
  5. Step 5: Solve for x
    x = 37,022,692.38/6,881.96
  6. Step 6: Final answer
    x = 5,379.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.