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Finding the Fourth Proportional to 6,288.26, 9,430.23 and 2,393.78

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Solution

The fourth proportional to 6,288.26, 9,430.23 and 2,393.78 is: 3,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.26 : 9,430.23 = 2,393.78 : x
  2. Step 2: Convert to fraction form
    6,288.26/9,430.23 = 2,393.78/x
  3. Step 3: Cross multiply
    6,288.26x = 9,430.23 × 2,393.78
  4. Step 4: Simplify right side
    6,288.26x = 22,573,895.97
  5. Step 5: Solve for x
    x = 22,573,895.97/6,288.26
  6. Step 6: Final answer
    x = 3,589.85

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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.