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Finding the Fourth Proportional to 9,154.50, 13,731.75 and 3,682.50

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Solution

The fourth proportional to 9,154.50, 13,731.75 and 3,682.50 is: 5,523.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.50 : 13,731.75 = 3,682.50 : x
  2. Step 2: Convert to fraction form
    9,154.50/13,731.75 = 3,682.50/x
  3. Step 3: Cross multiply
    9,154.50x = 13,731.75 × 3,682.50
  4. Step 4: Simplify right side
    9,154.50x = 50,567,169.38
  5. Step 5: Solve for x
    x = 50,567,169.38/9,154.50
  6. Step 6: Final answer
    x = 5,523.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.