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Finding the Fourth Proportional to 9,685.88, 13,371.46 and 6,855.48

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Solution

The fourth proportional to 9,685.88, 13,371.46 and 6,855.48 is: 9,464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.88 : 13,371.46 = 6,855.48 : x
  2. Step 2: Convert to fraction form
    9,685.88/13,371.46 = 6,855.48/x
  3. Step 3: Cross multiply
    9,685.88x = 13,371.46 × 6,855.48
  4. Step 4: Simplify right side
    9,685.88x = 91,667,776.60
  5. Step 5: Solve for x
    x = 91,667,776.60/9,685.88
  6. Step 6: Final answer
    x = 9,464.06

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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.