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Finding the Fourth Proportional to 9,185.87, 13,773.21 and 3,917.93

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Solution

The fourth proportional to 9,185.87, 13,773.21 and 3,917.93 is: 5,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.87 : 13,773.21 = 3,917.93 : x
  2. Step 2: Convert to fraction form
    9,185.87/13,773.21 = 3,917.93/x
  3. Step 3: Cross multiply
    9,185.87x = 13,773.21 × 3,917.93
  4. Step 4: Simplify right side
    9,185.87x = 53,962,403.79
  5. Step 5: Solve for x
    x = 53,962,403.79/9,185.87
  6. Step 6: Final answer
    x = 5,874.50

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Why These Related Problems?

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