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Finding the Fourth Proportional to 6,742.80, 9,313.92 and 5,168.16

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Solution

The fourth proportional to 6,742.80, 9,313.92 and 5,168.16 is: 7,138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.80 : 9,313.92 = 5,168.16 : x
  2. Step 2: Convert to fraction form
    6,742.80/9,313.92 = 5,168.16/x
  3. Step 3: Cross multiply
    6,742.80x = 9,313.92 × 5,168.16
  4. Step 4: Simplify right side
    6,742.80x = 48,135,828.79
  5. Step 5: Solve for x
    x = 48,135,828.79/6,742.80
  6. Step 6: Final answer
    x = 7,138.85

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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.