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Finding the Fourth Proportional to 9,506.97, 13,115.25 and 6,150.87

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Solution

The fourth proportional to 9,506.97, 13,115.25 and 6,150.87 is: 8,485.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.97 : 13,115.25 = 6,150.87 : x
  2. Step 2: Convert to fraction form
    9,506.97/13,115.25 = 6,150.87/x
  3. Step 3: Cross multiply
    9,506.97x = 13,115.25 × 6,150.87
  4. Step 4: Simplify right side
    9,506.97x = 80,670,149.60
  5. Step 5: Solve for x
    x = 80,670,149.60/9,506.97
  6. Step 6: Final answer
    x = 8,485.37

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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.