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Finding the Fourth Proportional to 9,494.13, 14,228.67 and 8,255.64

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Solution

The fourth proportional to 9,494.13, 14,228.67 and 8,255.64 is: 12,372.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.13 : 14,228.67 = 8,255.64 : x
  2. Step 2: Convert to fraction form
    9,494.13/14,228.67 = 8,255.64/x
  3. Step 3: Cross multiply
    9,494.13x = 14,228.67 × 8,255.64
  4. Step 4: Simplify right side
    9,494.13x = 117,466,777.20
  5. Step 5: Solve for x
    x = 117,466,777.20/9,494.13
  6. Step 6: Final answer
    x = 12,372.57

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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.