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Finding the Fourth Proportional to 9,186.52, 13,773.19 and 3,849.49

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Solution

The fourth proportional to 9,186.52, 13,773.19 and 3,849.49 is: 5,771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.52 : 13,773.19 = 3,849.49 : x
  2. Step 2: Convert to fraction form
    9,186.52/13,773.19 = 3,849.49/x
  3. Step 3: Cross multiply
    9,186.52x = 13,773.19 × 3,849.49
  4. Step 4: Simplify right side
    9,186.52x = 53,019,737.93
  5. Step 5: Solve for x
    x = 53,019,737.93/9,186.52
  6. Step 6: Final answer
    x = 5,771.47

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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.