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Finding the Fourth Proportional to 6,814.77, 9,401.03 and 4,157.56

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Solution

The fourth proportional to 6,814.77, 9,401.03 and 4,157.56 is: 5,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.77 : 9,401.03 = 4,157.56 : x
  2. Step 2: Convert to fraction form
    6,814.77/9,401.03 = 4,157.56/x
  3. Step 3: Cross multiply
    6,814.77x = 9,401.03 × 4,157.56
  4. Step 4: Simplify right side
    6,814.77x = 39,085,325.50
  5. Step 5: Solve for x
    x = 39,085,325.50/6,814.77
  6. Step 6: Final answer
    x = 5,735.39

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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.