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Finding the Fourth Proportional to 9,620.72, 14,427.84 and 7,767.44

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Solution

The fourth proportional to 9,620.72, 14,427.84 and 7,767.44 is: 11,648.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.72 : 14,427.84 = 7,767.44 : x
  2. Step 2: Convert to fraction form
    9,620.72/14,427.84 = 7,767.44/x
  3. Step 3: Cross multiply
    9,620.72x = 14,427.84 × 7,767.44
  4. Step 4: Simplify right side
    9,620.72x = 112,067,381.53
  5. Step 5: Solve for x
    x = 112,067,381.53/9,620.72
  6. Step 6: Final answer
    x = 11,648.54

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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.