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Finding the Fourth Proportional to 6,294.26, 9,445.91 and 4,218.23

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Solution

The fourth proportional to 6,294.26, 9,445.91 and 4,218.23 is: 6,330.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.26 : 9,445.91 = 4,218.23 : x
  2. Step 2: Convert to fraction form
    6,294.26/9,445.91 = 4,218.23/x
  3. Step 3: Cross multiply
    6,294.26x = 9,445.91 × 4,218.23
  4. Step 4: Simplify right side
    6,294.26x = 39,844,952.62
  5. Step 5: Solve for x
    x = 39,844,952.62/6,294.26
  6. Step 6: Final answer
    x = 6,330.37

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