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Finding the Fourth Proportional to 9,504.30, 14,256.45 and 8,049.90

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Solution

The fourth proportional to 9,504.30, 14,256.45 and 8,049.90 is: 12,074.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.30 : 14,256.45 = 8,049.90 : x
  2. Step 2: Convert to fraction form
    9,504.30/14,256.45 = 8,049.90/x
  3. Step 3: Cross multiply
    9,504.30x = 14,256.45 × 8,049.90
  4. Step 4: Simplify right side
    9,504.30x = 114,762,996.86
  5. Step 5: Solve for x
    x = 114,762,996.86/9,504.30
  6. Step 6: Final answer
    x = 12,074.85

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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.