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Finding the Fourth Proportional to 6,748.64, 9,313.08 and 3,723.92

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Solution

The fourth proportional to 6,748.64, 9,313.08 and 3,723.92 is: 5,138.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.64 : 9,313.08 = 3,723.92 : x
  2. Step 2: Convert to fraction form
    6,748.64/9,313.08 = 3,723.92/x
  3. Step 3: Cross multiply
    6,748.64x = 9,313.08 × 3,723.92
  4. Step 4: Simplify right side
    6,748.64x = 34,681,164.87
  5. Step 5: Solve for x
    x = 34,681,164.87/6,748.64
  6. Step 6: Final answer
    x = 5,138.99

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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.