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Finding the Fourth Proportional to 9,493.62, 14,241.42 and 3,254.28

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Solution

The fourth proportional to 9,493.62, 14,241.42 and 3,254.28 is: 4,881.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.62 : 14,241.42 = 3,254.28 : x
  2. Step 2: Convert to fraction form
    9,493.62/14,241.42 = 3,254.28/x
  3. Step 3: Cross multiply
    9,493.62x = 14,241.42 × 3,254.28
  4. Step 4: Simplify right side
    9,493.62x = 46,345,568.28
  5. Step 5: Solve for x
    x = 46,345,568.28/9,493.62
  6. Step 6: Final answer
    x = 4,881.76

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