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Finding the Fourth Proportional to 6,238.53, 9,353.17 and 2,947.77

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Solution

The fourth proportional to 6,238.53, 9,353.17 and 2,947.77 is: 4,419.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.53 : 9,353.17 = 2,947.77 : x
  2. Step 2: Convert to fraction form
    6,238.53/9,353.17 = 2,947.77/x
  3. Step 3: Cross multiply
    6,238.53x = 9,353.17 × 2,947.77
  4. Step 4: Simplify right side
    6,238.53x = 27,571,036.72
  5. Step 5: Solve for x
    x = 27,571,036.72/6,238.53
  6. Step 6: Final answer
    x = 4,419.48

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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.