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Finding the Fourth Proportional to 9,835.44, 13,586.22 and 7,859.85

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Solution

The fourth proportional to 9,835.44, 13,586.22 and 7,859.85 is: 10,857.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.44 : 13,586.22 = 7,859.85 : x
  2. Step 2: Convert to fraction form
    9,835.44/13,586.22 = 7,859.85/x
  3. Step 3: Cross multiply
    9,835.44x = 13,586.22 × 7,859.85
  4. Step 4: Simplify right side
    9,835.44x = 106,785,651.27
  5. Step 5: Solve for x
    x = 106,785,651.27/9,835.44
  6. Step 6: Final answer
    x = 10,857.23

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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.