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Finding the Fourth Proportional to 6,333.28, 9,494.16 and 2,869.12

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Solution

The fourth proportional to 6,333.28, 9,494.16 and 2,869.12 is: 4,301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.28 : 9,494.16 = 2,869.12 : x
  2. Step 2: Convert to fraction form
    6,333.28/9,494.16 = 2,869.12/x
  3. Step 3: Cross multiply
    6,333.28x = 9,494.16 × 2,869.12
  4. Step 4: Simplify right side
    6,333.28x = 27,239,884.34
  5. Step 5: Solve for x
    x = 27,239,884.34/6,333.28
  6. Step 6: Final answer
    x = 4,301.07

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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.