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Finding the Fourth Proportional to 6,748.89, 9,313.48 and 3,764.64

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Solution

The fourth proportional to 6,748.89, 9,313.48 and 3,764.64 is: 5,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.89 : 9,313.48 = 3,764.64 : x
  2. Step 2: Convert to fraction form
    6,748.89/9,313.48 = 3,764.64/x
  3. Step 3: Cross multiply
    6,748.89x = 9,313.48 × 3,764.64
  4. Step 4: Simplify right side
    6,748.89x = 35,061,903.81
  5. Step 5: Solve for x
    x = 35,061,903.81/6,748.89
  6. Step 6: Final answer
    x = 5,195.21

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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.