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Finding the Fourth Proportional to 9,110.25, 13,658.04 and 3,919.77

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Solution

The fourth proportional to 9,110.25, 13,658.04 and 3,919.77 is: 5,876.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,110.25 : 13,658.04 = 3,919.77 : x
  2. Step 2: Convert to fraction form
    9,110.25/13,658.04 = 3,919.77/x
  3. Step 3: Cross multiply
    9,110.25x = 13,658.04 × 3,919.77
  4. Step 4: Simplify right side
    9,110.25x = 53,536,375.45
  5. Step 5: Solve for x
    x = 53,536,375.45/9,110.25
  6. Step 6: Final answer
    x = 5,876.50

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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.