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Finding the Fourth Proportional to 9,704.26, 13,378.31 and 8,206.16

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Solution

The fourth proportional to 9,704.26, 13,378.31 and 8,206.16 is: 11,313.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.26 : 13,378.31 = 8,206.16 : x
  2. Step 2: Convert to fraction form
    9,704.26/13,378.31 = 8,206.16/x
  3. Step 3: Cross multiply
    9,704.26x = 13,378.31 × 8,206.16
  4. Step 4: Simplify right side
    9,704.26x = 109,784,552.39
  5. Step 5: Solve for x
    x = 109,784,552.39/9,704.26
  6. Step 6: Final answer
    x = 11,313.03

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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.