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Finding the Fourth Proportional to 9,834.35, 13,571.69 and 6,968.23

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Solution

The fourth proportional to 9,834.35, 13,571.69 and 6,968.23 is: 9,616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.35 : 13,571.69 = 6,968.23 : x
  2. Step 2: Convert to fraction form
    9,834.35/13,571.69 = 6,968.23/x
  3. Step 3: Cross multiply
    9,834.35x = 13,571.69 × 6,968.23
  4. Step 4: Simplify right side
    9,834.35x = 94,570,588.64
  5. Step 5: Solve for x
    x = 94,570,588.64/9,834.35
  6. Step 6: Final answer
    x = 9,616.36

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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.