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Finding the Fourth Proportional to 6,909.44, 9,534.65 and 3,924.86

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Solution

The fourth proportional to 6,909.44, 9,534.65 and 3,924.86 is: 5,416.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.44 : 9,534.65 = 3,924.86 : x
  2. Step 2: Convert to fraction form
    6,909.44/9,534.65 = 3,924.86/x
  3. Step 3: Cross multiply
    6,909.44x = 9,534.65 × 3,924.86
  4. Step 4: Simplify right side
    6,909.44x = 37,422,099.10
  5. Step 5: Solve for x
    x = 37,422,099.10/6,909.44
  6. Step 6: Final answer
    x = 5,416.09

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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.