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Finding the Fourth Proportional to 6,198.44, 9,301.80 and 2,303.24

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Solution

The fourth proportional to 6,198.44, 9,301.80 and 2,303.24 is: 3,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.44 : 9,301.80 = 2,303.24 : x
  2. Step 2: Convert to fraction form
    6,198.44/9,301.80 = 2,303.24/x
  3. Step 3: Cross multiply
    6,198.44x = 9,301.80 × 2,303.24
  4. Step 4: Simplify right side
    6,198.44x = 21,424,277.83
  5. Step 5: Solve for x
    x = 21,424,277.83/6,198.44
  6. Step 6: Final answer
    x = 3,456.40

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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.