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Finding the Fourth Proportional to 6,198.27, 9,300.14 and 2,507.72

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Solution

The fourth proportional to 6,198.27, 9,300.14 and 2,507.72 is: 3,762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.27 : 9,300.14 = 2,507.72 : x
  2. Step 2: Convert to fraction form
    6,198.27/9,300.14 = 2,507.72/x
  3. Step 3: Cross multiply
    6,198.27x = 9,300.14 × 2,507.72
  4. Step 4: Simplify right side
    6,198.27x = 23,322,088.04
  5. Step 5: Solve for x
    x = 23,322,088.04/6,198.27
  6. Step 6: Final answer
    x = 3,762.68

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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.