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Finding the Fourth Proportional to 9,774.72, 14,660.93 and 2,755.26

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Solution

The fourth proportional to 9,774.72, 14,660.93 and 2,755.26 is: 4,132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.72 : 14,660.93 = 2,755.26 : x
  2. Step 2: Convert to fraction form
    9,774.72/14,660.93 = 2,755.26/x
  3. Step 3: Cross multiply
    9,774.72x = 14,660.93 × 2,755.26
  4. Step 4: Simplify right side
    9,774.72x = 40,394,660.22
  5. Step 5: Solve for x
    x = 40,394,660.22/9,774.72
  6. Step 6: Final answer
    x = 4,132.56

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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.