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Finding the Fourth Proportional to 6,412.82, 9,618.96 and 2,253.77

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Solution

The fourth proportional to 6,412.82, 9,618.96 and 2,253.77 is: 3,380.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.82 : 9,618.96 = 2,253.77 : x
  2. Step 2: Convert to fraction form
    6,412.82/9,618.96 = 2,253.77/x
  3. Step 3: Cross multiply
    6,412.82x = 9,618.96 × 2,253.77
  4. Step 4: Simplify right side
    6,412.82x = 21,678,875.38
  5. Step 5: Solve for x
    x = 21,678,875.38/6,412.82
  6. Step 6: Final answer
    x = 3,380.56

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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.