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Finding the Fourth Proportional to 8,926.14, 13,322.76 and 7,734.86

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Solution

The fourth proportional to 8,926.14, 13,322.76 and 7,734.86 is: 11,544.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,926.14 : 13,322.76 = 7,734.86 : x
  2. Step 2: Convert to fraction form
    8,926.14/13,322.76 = 7,734.86/x
  3. Step 3: Cross multiply
    8,926.14x = 13,322.76 × 7,734.86
  4. Step 4: Simplify right side
    8,926.14x = 103,049,683.41
  5. Step 5: Solve for x
    x = 103,049,683.41/8,926.14
  6. Step 6: Final answer
    x = 11,544.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.