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Finding the Fourth Proportional to 9,744.35, 13,446.26 and 5,496.07

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Solution

The fourth proportional to 9,744.35, 13,446.26 and 5,496.07 is: 7,584.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.35 : 13,446.26 = 5,496.07 : x
  2. Step 2: Convert to fraction form
    9,744.35/13,446.26 = 5,496.07/x
  3. Step 3: Cross multiply
    9,744.35x = 13,446.26 × 5,496.07
  4. Step 4: Simplify right side
    9,744.35x = 73,901,525.10
  5. Step 5: Solve for x
    x = 73,901,525.10/9,744.35
  6. Step 6: Final answer
    x = 7,584.04

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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.