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Finding the Fourth Proportional to 9,517.78, 14,268.45 and 3,678.49

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Solution

The fourth proportional to 9,517.78, 14,268.45 and 3,678.49 is: 5,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.78 : 14,268.45 = 3,678.49 : x
  2. Step 2: Convert to fraction form
    9,517.78/14,268.45 = 3,678.49/x
  3. Step 3: Cross multiply
    9,517.78x = 14,268.45 × 3,678.49
  4. Step 4: Simplify right side
    9,517.78x = 52,486,350.64
  5. Step 5: Solve for x
    x = 52,486,350.64/9,517.78
  6. Step 6: Final answer
    x = 5,514.56

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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.