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Finding the Fourth Proportional to 9,772.30, 14,659.07 and 3,446.39

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Solution

The fourth proportional to 9,772.30, 14,659.07 and 3,446.39 is: 5,169.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.30 : 14,659.07 = 3,446.39 : x
  2. Step 2: Convert to fraction form
    9,772.30/14,659.07 = 3,446.39/x
  3. Step 3: Cross multiply
    9,772.30x = 14,659.07 × 3,446.39
  4. Step 4: Simplify right side
    9,772.30x = 50,520,901.37
  5. Step 5: Solve for x
    x = 50,520,901.37/9,772.30
  6. Step 6: Final answer
    x = 5,169.81

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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.