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Finding the Fourth Proportional to 9,992.32, 13,785.60 and 6,268.48

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Solution

The fourth proportional to 9,992.32, 13,785.60 and 6,268.48 is: 8,648.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.32 : 13,785.60 = 6,268.48 : x
  2. Step 2: Convert to fraction form
    9,992.32/13,785.60 = 6,268.48/x
  3. Step 3: Cross multiply
    9,992.32x = 13,785.60 × 6,268.48
  4. Step 4: Simplify right side
    9,992.32x = 86,414,757.89
  5. Step 5: Solve for x
    x = 86,414,757.89/9,992.32
  6. Step 6: Final answer
    x = 8,648.12

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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.