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Finding the Fourth Proportional to 9,273.91, 13,828.15 and 8,243.59

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Solution

The fourth proportional to 9,273.91, 13,828.15 and 8,243.59 is: 12,291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,273.91 : 13,828.15 = 8,243.59 : x
  2. Step 2: Convert to fraction form
    9,273.91/13,828.15 = 8,243.59/x
  3. Step 3: Cross multiply
    9,273.91x = 13,828.15 × 8,243.59
  4. Step 4: Simplify right side
    9,273.91x = 113,993,599.06
  5. Step 5: Solve for x
    x = 113,993,599.06/9,273.91
  6. Step 6: Final answer
    x = 12,291.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.