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Finding the Fourth Proportional to 9,891.72, 13,644.52 and 7,764.05

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Solution

The fourth proportional to 9,891.72, 13,644.52 and 7,764.05 is: 10,709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.72 : 13,644.52 = 7,764.05 : x
  2. Step 2: Convert to fraction form
    9,891.72/13,644.52 = 7,764.05/x
  3. Step 3: Cross multiply
    9,891.72x = 13,644.52 × 7,764.05
  4. Step 4: Simplify right side
    9,891.72x = 105,936,750.21
  5. Step 5: Solve for x
    x = 105,936,750.21/9,891.72
  6. Step 6: Final answer
    x = 10,709.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.