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Finding the Fourth Proportional to 9,674.75, 13,351.16 and 5,698.33

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Solution

The fourth proportional to 9,674.75, 13,351.16 and 5,698.33 is: 7,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.75 : 13,351.16 = 5,698.33 : x
  2. Step 2: Convert to fraction form
    9,674.75/13,351.16 = 5,698.33/x
  3. Step 3: Cross multiply
    9,674.75x = 13,351.16 × 5,698.33
  4. Step 4: Simplify right side
    9,674.75x = 76,079,315.56
  5. Step 5: Solve for x
    x = 76,079,315.56/9,674.75
  6. Step 6: Final answer
    x = 7,863.70

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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.