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Finding the Fourth Proportional to 9,386.75, 14,093.97 and 5,234.87

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Solution

The fourth proportional to 9,386.75, 14,093.97 and 5,234.87 is: 7,860.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.75 : 14,093.97 = 5,234.87 : x
  2. Step 2: Convert to fraction form
    9,386.75/14,093.97 = 5,234.87/x
  3. Step 3: Cross multiply
    9,386.75x = 14,093.97 × 5,234.87
  4. Step 4: Simplify right side
    9,386.75x = 73,780,100.73
  5. Step 5: Solve for x
    x = 73,780,100.73/9,386.75
  6. Step 6: Final answer
    x = 7,860.03

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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.