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Finding the Fourth Proportional to 6,365.96, 9,539.18 and 3,241.28

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Solution

The fourth proportional to 6,365.96, 9,539.18 and 3,241.28 is: 4,856.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.96 : 9,539.18 = 3,241.28 : x
  2. Step 2: Convert to fraction form
    6,365.96/9,539.18 = 3,241.28/x
  3. Step 3: Cross multiply
    6,365.96x = 9,539.18 × 3,241.28
  4. Step 4: Simplify right side
    6,365.96x = 30,919,153.35
  5. Step 5: Solve for x
    x = 30,919,153.35/6,365.96
  6. Step 6: Final answer
    x = 4,856.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.