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Finding the Fourth Proportional to 6,749.48, 9,314.16 and 3,765.26

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Solution

The fourth proportional to 6,749.48, 9,314.16 and 3,765.26 is: 5,195.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.48 : 9,314.16 = 3,765.26 : x
  2. Step 2: Convert to fraction form
    6,749.48/9,314.16 = 3,765.26/x
  3. Step 3: Cross multiply
    6,749.48x = 9,314.16 × 3,765.26
  4. Step 4: Simplify right side
    6,749.48x = 35,070,234.08
  5. Step 5: Solve for x
    x = 35,070,234.08/6,749.48
  6. Step 6: Final answer
    x = 5,195.99

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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.