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Finding the Fourth Proportional to 9,728.26, 13,429.47 and 6,371.22

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Solution

The fourth proportional to 9,728.26, 13,429.47 and 6,371.22 is: 8,795.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.26 : 13,429.47 = 6,371.22 : x
  2. Step 2: Convert to fraction form
    9,728.26/13,429.47 = 6,371.22/x
  3. Step 3: Cross multiply
    9,728.26x = 13,429.47 × 6,371.22
  4. Step 4: Simplify right side
    9,728.26x = 85,562,107.85
  5. Step 5: Solve for x
    x = 85,562,107.85/9,728.26
  6. Step 6: Final answer
    x = 8,795.21

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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.