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Finding the Fourth Proportional to 9,198.40, 13,799.68 and 4,004.80

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Solution

The fourth proportional to 9,198.40, 13,799.68 and 4,004.80 is: 6,008.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.40 : 13,799.68 = 4,004.80 : x
  2. Step 2: Convert to fraction form
    9,198.40/13,799.68 = 4,004.80/x
  3. Step 3: Cross multiply
    9,198.40x = 13,799.68 × 4,004.80
  4. Step 4: Simplify right side
    9,198.40x = 55,264,958.46
  5. Step 5: Solve for x
    x = 55,264,958.46/9,198.40
  6. Step 6: Final answer
    x = 6,008.11

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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.