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Finding the Fourth Proportional to 9,538.16, 14,226.81 and 9,246.56

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Solution

The fourth proportional to 9,538.16, 14,226.81 and 9,246.56 is: 13,791.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.16 : 14,226.81 = 9,246.56 : x
  2. Step 2: Convert to fraction form
    9,538.16/14,226.81 = 9,246.56/x
  3. Step 3: Cross multiply
    9,538.16x = 14,226.81 × 9,246.56
  4. Step 4: Simplify right side
    9,538.16x = 131,549,052.27
  5. Step 5: Solve for x
    x = 131,549,052.27/9,538.16
  6. Step 6: Final answer
    x = 13,791.87

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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.