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Finding the Fourth Proportional to 9,490.68, 14,236.21 and 3,257.85

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Solution

The fourth proportional to 9,490.68, 14,236.21 and 3,257.85 is: 4,886.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.68 : 14,236.21 = 3,257.85 : x
  2. Step 2: Convert to fraction form
    9,490.68/14,236.21 = 3,257.85/x
  3. Step 3: Cross multiply
    9,490.68x = 14,236.21 × 3,257.85
  4. Step 4: Simplify right side
    9,490.68x = 46,379,494.21
  5. Step 5: Solve for x
    x = 46,379,494.21/9,490.68
  6. Step 6: Final answer
    x = 4,886.85

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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.