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Finding the Fourth Proportional to 9,226.36, 12,732.44 and 5,034.64

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Solution

The fourth proportional to 9,226.36, 12,732.44 and 5,034.64 is: 6,947.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.36 : 12,732.44 = 5,034.64 : x
  2. Step 2: Convert to fraction form
    9,226.36/12,732.44 = 5,034.64/x
  3. Step 3: Cross multiply
    9,226.36x = 12,732.44 × 5,034.64
  4. Step 4: Simplify right side
    9,226.36x = 64,103,251.72
  5. Step 5: Solve for x
    x = 64,103,251.72/9,226.36
  6. Step 6: Final answer
    x = 6,947.84

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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.