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Finding the Fourth Proportional to 9,758.92, 14,639.02 and 3,433.03

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Solution

The fourth proportional to 9,758.92, 14,639.02 and 3,433.03 is: 5,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.92 : 14,639.02 = 3,433.03 : x
  2. Step 2: Convert to fraction form
    9,758.92/14,639.02 = 3,433.03/x
  3. Step 3: Cross multiply
    9,758.92x = 14,639.02 × 3,433.03
  4. Step 4: Simplify right side
    9,758.92x = 50,256,194.83
  5. Step 5: Solve for x
    x = 50,256,194.83/9,758.92
  6. Step 6: Final answer
    x = 5,149.77

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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.