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Finding the Fourth Proportional to 6,268.60, 9,402.90 and 3,804.13

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Solution

The fourth proportional to 6,268.60, 9,402.90 and 3,804.13 is: 5,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.60 : 9,402.90 = 3,804.13 : x
  2. Step 2: Convert to fraction form
    6,268.60/9,402.90 = 3,804.13/x
  3. Step 3: Cross multiply
    6,268.60x = 9,402.90 × 3,804.13
  4. Step 4: Simplify right side
    6,268.60x = 35,769,853.98
  5. Step 5: Solve for x
    x = 35,769,853.98/6,268.60
  6. Step 6: Final answer
    x = 5,706.20

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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.