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Finding the Fourth Proportional to 6,373.47, 9,517.27 and 5,205.79

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Solution

The fourth proportional to 6,373.47, 9,517.27 and 5,205.79 is: 7,773.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,373.47 : 9,517.27 = 5,205.79 : x
  2. Step 2: Convert to fraction form
    6,373.47/9,517.27 = 5,205.79/x
  3. Step 3: Cross multiply
    6,373.47x = 9,517.27 × 5,205.79
  4. Step 4: Simplify right side
    6,373.47x = 49,544,908.99
  5. Step 5: Solve for x
    x = 49,544,908.99/6,373.47
  6. Step 6: Final answer
    x = 7,773.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.