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Finding the Fourth Proportional to 6,284.02, 9,426.04 and 1,901.49

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Solution

The fourth proportional to 6,284.02, 9,426.04 and 1,901.49 is: 2,852.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.02 : 9,426.04 = 1,901.49 : x
  2. Step 2: Convert to fraction form
    6,284.02/9,426.04 = 1,901.49/x
  3. Step 3: Cross multiply
    6,284.02x = 9,426.04 × 1,901.49
  4. Step 4: Simplify right side
    6,284.02x = 17,923,520.80
  5. Step 5: Solve for x
    x = 17,923,520.80/6,284.02
  6. Step 6: Final answer
    x = 2,852.24

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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.