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Finding the Fourth Proportional to 9,232.08, 13,860.42 and 7,854.27

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Solution

The fourth proportional to 9,232.08, 13,860.42 and 7,854.27 is: 11,791.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.08 : 13,860.42 = 7,854.27 : x
  2. Step 2: Convert to fraction form
    9,232.08/13,860.42 = 7,854.27/x
  3. Step 3: Cross multiply
    9,232.08x = 13,860.42 × 7,854.27
  4. Step 4: Simplify right side
    9,232.08x = 108,863,480.99
  5. Step 5: Solve for x
    x = 108,863,480.99/9,232.08
  6. Step 6: Final answer
    x = 11,791.87

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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.