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Finding the Fourth Proportional to 9,833.40, 14,744.64 and 3,257.82

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Solution

The fourth proportional to 9,833.40, 14,744.64 and 3,257.82 is: 4,884.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.40 : 14,744.64 = 3,257.82 : x
  2. Step 2: Convert to fraction form
    9,833.40/14,744.64 = 3,257.82/x
  3. Step 3: Cross multiply
    9,833.40x = 14,744.64 × 3,257.82
  4. Step 4: Simplify right side
    9,833.40x = 48,035,383.08
  5. Step 5: Solve for x
    x = 48,035,383.08/9,833.40
  6. Step 6: Final answer
    x = 4,884.92

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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.