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Finding the Fourth Proportional to 6,217.34, 9,326 and 4,263.62

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Solution

The fourth proportional to 6,217.34, 9,326 and 4,263.62 is: 6,395.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.34 : 9,326 = 4,263.62 : x
  2. Step 2: Convert to fraction form
    6,217.34/9,326 = 4,263.62/x
  3. Step 3: Cross multiply
    6,217.34x = 9,326 × 4,263.62
  4. Step 4: Simplify right side
    6,217.34x = 39,762,520.12
  5. Step 5: Solve for x
    x = 39,762,520.12/6,217.34
  6. Step 6: Final answer
    x = 6,395.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.