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Finding the Fourth Proportional to 6,804.57, 9,391.27 and 3,820.63

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Solution

The fourth proportional to 6,804.57, 9,391.27 and 3,820.63 is: 5,273.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.57 : 9,391.27 = 3,820.63 : x
  2. Step 2: Convert to fraction form
    6,804.57/9,391.27 = 3,820.63/x
  3. Step 3: Cross multiply
    6,804.57x = 9,391.27 × 3,820.63
  4. Step 4: Simplify right side
    6,804.57x = 35,880,567.90
  5. Step 5: Solve for x
    x = 35,880,567.90/6,804.57
  6. Step 6: Final answer
    x = 5,273.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.