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Finding the Fourth Proportional to 9,768.11, 14,650.94 and 3,193.74

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Solution

The fourth proportional to 9,768.11, 14,650.94 and 3,193.74 is: 4,790.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.11 : 14,650.94 = 3,193.74 : x
  2. Step 2: Convert to fraction form
    9,768.11/14,650.94 = 3,193.74/x
  3. Step 3: Cross multiply
    9,768.11x = 14,650.94 × 3,193.74
  4. Step 4: Simplify right side
    9,768.11x = 46,791,277.15
  5. Step 5: Solve for x
    x = 46,791,277.15/9,768.11
  6. Step 6: Final answer
    x = 4,790.21

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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.