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Finding the Fourth Proportional to 11,409.64, 15,745.42 and 6,694

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Solution

The fourth proportional to 11,409.64, 15,745.42 and 6,694 is: 9,237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.64 : 15,745.42 = 6,694 : x
  2. Step 2: Convert to fraction form
    11,409.64/15,745.42 = 6,694/x
  3. Step 3: Cross multiply
    11,409.64x = 15,745.42 × 6,694
  4. Step 4: Simplify right side
    11,409.64x = 105,399,841.48
  5. Step 5: Solve for x
    x = 105,399,841.48/11,409.64
  6. Step 6: Final answer
    x = 9,237.79

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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.