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Finding the Fourth Proportional to 6,909.14, 9,534.48 and 3,765.26

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Solution

The fourth proportional to 6,909.14, 9,534.48 and 3,765.26 is: 5,195.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.14 : 9,534.48 = 3,765.26 : x
  2. Step 2: Convert to fraction form
    6,909.14/9,534.48 = 3,765.26/x
  3. Step 3: Cross multiply
    6,909.14x = 9,534.48 × 3,765.26
  4. Step 4: Simplify right side
    6,909.14x = 35,899,796.16
  5. Step 5: Solve for x
    x = 35,899,796.16/6,909.14
  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.