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Finding the Fourth Proportional to 9,926.72, 13,788.68 and 9,767.96

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Solution

The fourth proportional to 9,926.72, 13,788.68 and 9,767.96 is: 13,568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.72 : 13,788.68 = 9,767.96 : x
  2. Step 2: Convert to fraction form
    9,926.72/13,788.68 = 9,767.96/x
  3. Step 3: Cross multiply
    9,926.72x = 13,788.68 × 9,767.96
  4. Step 4: Simplify right side
    9,926.72x = 134,687,274.69
  5. Step 5: Solve for x
    x = 134,687,274.69/9,926.72
  6. Step 6: Final answer
    x = 13,568.15

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.