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Finding the Fourth Proportional to 9,226.34, 12,732.48 and 5,034.56

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Solution

The fourth proportional to 9,226.34, 12,732.48 and 5,034.56 is: 6,947.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.34 : 12,732.48 = 5,034.56 : x
  2. Step 2: Convert to fraction form
    9,226.34/12,732.48 = 5,034.56/x
  3. Step 3: Cross multiply
    9,226.34x = 12,732.48 × 5,034.56
  4. Step 4: Simplify right side
    9,226.34x = 64,102,434.51
  5. Step 5: Solve for x
    x = 64,102,434.51/9,226.34
  6. Step 6: Final answer
    x = 6,947.76

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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.