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Finding the Fourth Proportional to 9,608.36, 13,261.64 and 6,245.32

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Solution

The fourth proportional to 9,608.36, 13,261.64 and 6,245.32 is: 8,619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.36 : 13,261.64 = 6,245.32 : x
  2. Step 2: Convert to fraction form
    9,608.36/13,261.64 = 6,245.32/x
  3. Step 3: Cross multiply
    9,608.36x = 13,261.64 × 6,245.32
  4. Step 4: Simplify right side
    9,608.36x = 82,823,185.52
  5. Step 5: Solve for x
    x = 82,823,185.52/9,608.36
  6. Step 6: Final answer
    x = 8,619.91

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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.