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Finding the Fourth Proportional to 9,884.94, 14,727.58 and 9,414.73

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Solution

The fourth proportional to 9,884.94, 14,727.58 and 9,414.73 is: 14,027.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.94 : 14,727.58 = 9,414.73 : x
  2. Step 2: Convert to fraction form
    9,884.94/14,727.58 = 9,414.73/x
  3. Step 3: Cross multiply
    9,884.94x = 14,727.58 × 9,414.73
  4. Step 4: Simplify right side
    9,884.94x = 138,656,250.32
  5. Step 5: Solve for x
    x = 138,656,250.32/9,884.94
  6. Step 6: Final answer
    x = 14,027.03

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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.