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Finding the Fourth Proportional to 11,926.94, 16,474.67 and 9,077.00

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Solution

The fourth proportional to 11,926.94, 16,474.67 and 9,077.00 is: 12,538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,926.94 : 16,474.67 = 9,077.00 : x
  2. Step 2: Convert to fraction form
    11,926.94/16,474.67 = 9,077.00/x
  3. Step 3: Cross multiply
    11,926.94x = 16,474.67 × 9,077.00
  4. Step 4: Simplify right side
    11,926.94x = 149,540,451.83
  5. Step 5: Solve for x
    x = 149,540,451.83/11,926.94
  6. Step 6: Final answer
    x = 12,538.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.