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Finding the Fourth Proportional to 9,889.31, 13,643.42 and 6,105.90

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Solution

The fourth proportional to 9,889.31, 13,643.42 and 6,105.90 is: 8,423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.31 : 13,643.42 = 6,105.90 : x
  2. Step 2: Convert to fraction form
    9,889.31/13,643.42 = 6,105.90/x
  3. Step 3: Cross multiply
    9,889.31x = 13,643.42 × 6,105.90
  4. Step 4: Simplify right side
    9,889.31x = 83,305,327.65
  5. Step 5: Solve for x
    x = 83,305,327.65/9,889.31
  6. Step 6: Final answer
    x = 8,423.78

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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.