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Finding the Fourth Proportional to 9,707.87, 13,399.07 and 6,872.29

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Solution

The fourth proportional to 9,707.87, 13,399.07 and 6,872.29 is: 9,485.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.87 : 13,399.07 = 6,872.29 : x
  2. Step 2: Convert to fraction form
    9,707.87/13,399.07 = 6,872.29/x
  3. Step 3: Cross multiply
    9,707.87x = 13,399.07 × 6,872.29
  4. Step 4: Simplify right side
    9,707.87x = 92,082,340.94
  5. Step 5: Solve for x
    x = 92,082,340.94/9,707.87
  6. Step 6: Final answer
    x = 9,485.33

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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.