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Finding the Fourth Proportional to 9,768.21, 14,653.17 and 2,748.27

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Solution

The fourth proportional to 9,768.21, 14,653.17 and 2,748.27 is: 4,122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.21 : 14,653.17 = 2,748.27 : x
  2. Step 2: Convert to fraction form
    9,768.21/14,653.17 = 2,748.27/x
  3. Step 3: Cross multiply
    9,768.21x = 14,653.17 × 2,748.27
  4. Step 4: Simplify right side
    9,768.21x = 40,270,867.52
  5. Step 5: Solve for x
    x = 40,270,867.52/9,768.21
  6. Step 6: Final answer
    x = 4,122.65

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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.