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Finding the Fourth Proportional to 7,197.45, 9,932.38 and 4,214.82

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Solution

The fourth proportional to 7,197.45, 9,932.38 and 4,214.82 is: 5,816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.45 : 9,932.38 = 4,214.82 : x
  2. Step 2: Convert to fraction form
    7,197.45/9,932.38 = 4,214.82/x
  3. Step 3: Cross multiply
    7,197.45x = 9,932.38 × 4,214.82
  4. Step 4: Simplify right side
    7,197.45x = 41,863,193.87
  5. Step 5: Solve for x
    x = 41,863,193.87/7,197.45
  6. Step 6: Final answer
    x = 5,816.39

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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.