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Finding the Fourth Proportional to 6,267.42, 8,647.29 and 3,911.94

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Solution

The fourth proportional to 6,267.42, 8,647.29 and 3,911.94 is: 5,397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.42 : 8,647.29 = 3,911.94 : x
  2. Step 2: Convert to fraction form
    6,267.42/8,647.29 = 3,911.94/x
  3. Step 3: Cross multiply
    6,267.42x = 8,647.29 × 3,911.94
  4. Step 4: Simplify right side
    6,267.42x = 33,827,679.64
  5. Step 5: Solve for x
    x = 33,827,679.64/6,267.42
  6. Step 6: Final answer
    x = 5,397.39

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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.