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Finding the Fourth Proportional to 9,768.24, 14,651.90 and 3,193.56

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Solution

The fourth proportional to 9,768.24, 14,651.90 and 3,193.56 is: 4,790.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.24 : 14,651.90 = 3,193.56 : x
  2. Step 2: Convert to fraction form
    9,768.24/14,651.90 = 3,193.56/x
  3. Step 3: Cross multiply
    9,768.24x = 14,651.90 × 3,193.56
  4. Step 4: Simplify right side
    9,768.24x = 46,791,721.76
  5. Step 5: Solve for x
    x = 46,791,721.76/9,768.24
  6. Step 6: Final answer
    x = 4,790.19

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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.