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Finding the Fourth Proportional to 8,926.68, 13,414.32 and 4,769.64

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Solution

The fourth proportional to 8,926.68, 13,414.32 and 4,769.64 is: 7,167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,926.68 : 13,414.32 = 4,769.64 : x
  2. Step 2: Convert to fraction form
    8,926.68/13,414.32 = 4,769.64/x
  3. Step 3: Cross multiply
    8,926.68x = 13,414.32 × 4,769.64
  4. Step 4: Simplify right side
    8,926.68x = 63,981,477.24
  5. Step 5: Solve for x
    x = 63,981,477.24/8,926.68
  6. Step 6: Final answer
    x = 7,167.44

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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.