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Finding the Fourth Proportional to 9,151.94, 13,727.60 and 3,883.57

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Solution

The fourth proportional to 9,151.94, 13,727.60 and 3,883.57 is: 5,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.94 : 13,727.60 = 3,883.57 : x
  2. Step 2: Convert to fraction form
    9,151.94/13,727.60 = 3,883.57/x
  3. Step 3: Cross multiply
    9,151.94x = 13,727.60 × 3,883.57
  4. Step 4: Simplify right side
    9,151.94x = 53,312,026.89
  5. Step 5: Solve for x
    x = 53,312,026.89/9,151.94
  6. Step 6: Final answer
    x = 5,825.22

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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.