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Finding the Fourth Proportional to 9,195.85, 13,781.26 and 4,804.21

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Solution

The fourth proportional to 9,195.85, 13,781.26 and 4,804.21 is: 7,199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.85 : 13,781.26 = 4,804.21 : x
  2. Step 2: Convert to fraction form
    9,195.85/13,781.26 = 4,804.21/x
  3. Step 3: Cross multiply
    9,195.85x = 13,781.26 × 4,804.21
  4. Step 4: Simplify right side
    9,195.85x = 66,208,067.10
  5. Step 5: Solve for x
    x = 66,208,067.10/9,195.85
  6. Step 6: Final answer
    x = 7,199.78

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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.