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Finding the Fourth Proportional to 6,266.85, 9,382.05 and 3,800.40

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Solution

The fourth proportional to 6,266.85, 9,382.05 and 3,800.40 is: 5,689.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.85 : 9,382.05 = 3,800.40 : x
  2. Step 2: Convert to fraction form
    6,266.85/9,382.05 = 3,800.40/x
  3. Step 3: Cross multiply
    6,266.85x = 9,382.05 × 3,800.40
  4. Step 4: Simplify right side
    6,266.85x = 35,655,542.82
  5. Step 5: Solve for x
    x = 35,655,542.82/6,266.85
  6. Step 6: Final answer
    x = 5,689.55

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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.