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Finding the Fourth Proportional to 6,288.53, 9,434.00 and 2,392.62

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Solution

The fourth proportional to 6,288.53, 9,434.00 and 2,392.62 is: 3,589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.53 : 9,434.00 = 2,392.62 : x
  2. Step 2: Convert to fraction form
    6,288.53/9,434.00 = 2,392.62/x
  3. Step 3: Cross multiply
    6,288.53x = 9,434.00 × 2,392.62
  4. Step 4: Simplify right side
    6,288.53x = 22,571,965.12
  5. Step 5: Solve for x
    x = 22,571,965.12/6,288.53
  6. Step 6: Final answer
    x = 3,589.39

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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.