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Finding the Fourth Proportional to 6,909.36, 9,534.89 and 3,924.60

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Solution

The fourth proportional to 6,909.36, 9,534.89 and 3,924.60 is: 5,415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.36 : 9,534.89 = 3,924.60 : x
  2. Step 2: Convert to fraction form
    6,909.36/9,534.89 = 3,924.60/x
  3. Step 3: Cross multiply
    6,909.36x = 9,534.89 × 3,924.60
  4. Step 4: Simplify right side
    6,909.36x = 37,420,609.67
  5. Step 5: Solve for x
    x = 37,420,609.67/6,909.36
  6. Step 6: Final answer
    x = 5,415.93

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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.