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Finding the Fourth Proportional to 9,512.01, 14,255.28 and 5,349.96

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Solution

The fourth proportional to 9,512.01, 14,255.28 and 5,349.96 is: 8,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.01 : 14,255.28 = 5,349.96 : x
  2. Step 2: Convert to fraction form
    9,512.01/14,255.28 = 5,349.96/x
  3. Step 3: Cross multiply
    9,512.01x = 14,255.28 × 5,349.96
  4. Step 4: Simplify right side
    9,512.01x = 76,265,177.79
  5. Step 5: Solve for x
    x = 76,265,177.79/9,512.01
  6. Step 6: Final answer
    x = 8,017.78

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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.