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Finding the Fourth Proportional to 6,201.83, 9,304.07 and 1,818.92

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Solution

The fourth proportional to 6,201.83, 9,304.07 and 1,818.92 is: 2,728.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.83 : 9,304.07 = 1,818.92 : x
  2. Step 2: Convert to fraction form
    6,201.83/9,304.07 = 1,818.92/x
  3. Step 3: Cross multiply
    6,201.83x = 9,304.07 × 1,818.92
  4. Step 4: Simplify right side
    6,201.83x = 16,923,373.17
  5. Step 5: Solve for x
    x = 16,923,373.17/6,201.83
  6. Step 6: Final answer
    x = 2,728.77

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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.