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Finding the Fourth Proportional to 9,573.68, 13,197.83 and 6,338.07

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Solution

The fourth proportional to 9,573.68, 13,197.83 and 6,338.07 is: 8,737.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.68 : 13,197.83 = 6,338.07 : x
  2. Step 2: Convert to fraction form
    9,573.68/13,197.83 = 6,338.07/x
  3. Step 3: Cross multiply
    9,573.68x = 13,197.83 × 6,338.07
  4. Step 4: Simplify right side
    9,573.68x = 83,648,738.70
  5. Step 5: Solve for x
    x = 83,648,738.70/9,573.68
  6. Step 6: Final answer
    x = 8,737.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.