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Finding the Fourth Proportional to 10,101.89, 13,942.86 and 6,469.04

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Solution

The fourth proportional to 10,101.89, 13,942.86 and 6,469.04 is: 8,928.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.89 : 13,942.86 = 6,469.04 : x
  2. Step 2: Convert to fraction form
    10,101.89/13,942.86 = 6,469.04/x
  3. Step 3: Cross multiply
    10,101.89x = 13,942.86 × 6,469.04
  4. Step 4: Simplify right side
    10,101.89x = 90,196,919.05
  5. Step 5: Solve for x
    x = 90,196,919.05/10,101.89
  6. Step 6: Final answer
    x = 8,928.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.