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Finding the Fourth Proportional to 9,265.30, 13,865.12 and 8,171.80

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Solution

The fourth proportional to 9,265.30, 13,865.12 and 8,171.80 is: 12,228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.30 : 13,865.12 = 8,171.80 : x
  2. Step 2: Convert to fraction form
    9,265.30/13,865.12 = 8,171.80/x
  3. Step 3: Cross multiply
    9,265.30x = 13,865.12 × 8,171.80
  4. Step 4: Simplify right side
    9,265.30x = 113,302,987.62
  5. Step 5: Solve for x
    x = 113,302,987.62/9,265.30
  6. Step 6: Final answer
    x = 12,228.74

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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.