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Finding the Fourth Proportional to 9,674.07, 13,334.78 and 7,626.62

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Solution

The fourth proportional to 9,674.07, 13,334.78 and 7,626.62 is: 10,512.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.07 : 13,334.78 = 7,626.62 : x
  2. Step 2: Convert to fraction form
    9,674.07/13,334.78 = 7,626.62/x
  3. Step 3: Cross multiply
    9,674.07x = 13,334.78 × 7,626.62
  4. Step 4: Simplify right side
    9,674.07x = 101,699,309.35
  5. Step 5: Solve for x
    x = 101,699,309.35/9,674.07
  6. Step 6: Final answer
    x = 10,512.57

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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.