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Finding the Fourth Proportional to 9,443.85, 13,027.33 and 5,857.57

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Solution

The fourth proportional to 9,443.85, 13,027.33 and 5,857.57 is: 8,080.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.85 : 13,027.33 = 5,857.57 : x
  2. Step 2: Convert to fraction form
    9,443.85/13,027.33 = 5,857.57/x
  3. Step 3: Cross multiply
    9,443.85x = 13,027.33 × 5,857.57
  4. Step 4: Simplify right side
    9,443.85x = 76,308,500.83
  5. Step 5: Solve for x
    x = 76,308,500.83/9,443.85
  6. Step 6: Final answer
    x = 8,080.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.