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Finding the Fourth Proportional to 9,198.47, 13,799.07 and 4,268.61

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Solution

The fourth proportional to 9,198.47, 13,799.07 and 4,268.61 is: 6,403.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.47 : 13,799.07 = 4,268.61 : x
  2. Step 2: Convert to fraction form
    9,198.47/13,799.07 = 4,268.61/x
  3. Step 3: Cross multiply
    9,198.47x = 13,799.07 × 4,268.61
  4. Step 4: Simplify right side
    9,198.47x = 58,902,848.19
  5. Step 5: Solve for x
    x = 58,902,848.19/9,198.47
  6. Step 6: Final answer
    x = 6,403.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.