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Finding the Fourth Proportional to 6,162.76, 9,236.82 and 2,869.03

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Solution

The fourth proportional to 6,162.76, 9,236.82 and 2,869.03 is: 4,300.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.76 : 9,236.82 = 2,869.03 : x
  2. Step 2: Convert to fraction form
    6,162.76/9,236.82 = 2,869.03/x
  3. Step 3: Cross multiply
    6,162.76x = 9,236.82 × 2,869.03
  4. Step 4: Simplify right side
    6,162.76x = 26,500,667.50
  5. Step 5: Solve for x
    x = 26,500,667.50/6,162.76
  6. Step 6: Final answer
    x = 4,300.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.