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Finding the Fourth Proportional to 6,909.12, 9,534.22 and 3,924.88

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Solution

The fourth proportional to 6,909.12, 9,534.22 and 3,924.88 is: 5,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.12 : 9,534.22 = 3,924.88 : x
  2. Step 2: Convert to fraction form
    6,909.12/9,534.22 = 3,924.88/x
  3. Step 3: Cross multiply
    6,909.12x = 9,534.22 × 3,924.88
  4. Step 4: Simplify right side
    6,909.12x = 37,420,669.39
  5. Step 5: Solve for x
    x = 37,420,669.39/6,909.12
  6. Step 6: Final answer
    x = 5,416.13

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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.