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Finding the Fourth Proportional to 6,719.23, 9,271.97 and 3,734.11

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Solution

The fourth proportional to 6,719.23, 9,271.97 and 3,734.11 is: 5,152.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,719.23 : 9,271.97 = 3,734.11 : x
  2. Step 2: Convert to fraction form
    6,719.23/9,271.97 = 3,734.11/x
  3. Step 3: Cross multiply
    6,719.23x = 9,271.97 × 3,734.11
  4. Step 4: Simplify right side
    6,719.23x = 34,622,537.23
  5. Step 5: Solve for x
    x = 34,622,537.23/6,719.23
  6. Step 6: Final answer
    x = 5,152.75

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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.