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Finding the Fourth Proportional to 6,371.28, 9,544.12 and 2,903.76

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Solution

The fourth proportional to 6,371.28, 9,544.12 and 2,903.76 is: 4,349.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.28 : 9,544.12 = 2,903.76 : x
  2. Step 2: Convert to fraction form
    6,371.28/9,544.12 = 2,903.76/x
  3. Step 3: Cross multiply
    6,371.28x = 9,544.12 × 2,903.76
  4. Step 4: Simplify right side
    6,371.28x = 27,713,833.89
  5. Step 5: Solve for x
    x = 27,713,833.89/6,371.28
  6. Step 6: Final answer
    x = 4,349.81

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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.