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Finding the Fourth Proportional to 6,909.15, 9,534.62 and 3,765.34

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Solution

The fourth proportional to 6,909.15, 9,534.62 and 3,765.34 is: 5,196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.15 : 9,534.62 = 3,765.34 : x
  2. Step 2: Convert to fraction form
    6,909.15/9,534.62 = 3,765.34/x
  3. Step 3: Cross multiply
    6,909.15x = 9,534.62 × 3,765.34
  4. Step 4: Simplify right side
    6,909.15x = 35,901,086.07
  5. Step 5: Solve for x
    x = 35,901,086.07/6,909.15
  6. Step 6: Final answer
    x = 5,196.17

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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.