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Finding the Fourth Proportional to 9,151.69, 13,727.23 and 3,883.32

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Solution

The fourth proportional to 9,151.69, 13,727.23 and 3,883.32 is: 5,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.69 : 13,727.23 = 3,883.32 : x
  2. Step 2: Convert to fraction form
    9,151.69/13,727.23 = 3,883.32/x
  3. Step 3: Cross multiply
    9,151.69x = 13,727.23 × 3,883.32
  4. Step 4: Simplify right side
    9,151.69x = 53,307,226.80
  5. Step 5: Solve for x
    x = 53,307,226.80/9,151.69
  6. Step 6: Final answer
    x = 5,824.85

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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.