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Finding the Fourth Proportional to 6,219.64, 9,329.43 and 5,121.68

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Solution

The fourth proportional to 6,219.64, 9,329.43 and 5,121.68 is: 7,682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,219.64 : 9,329.43 = 5,121.68 : x
  2. Step 2: Convert to fraction form
    6,219.64/9,329.43 = 5,121.68/x
  3. Step 3: Cross multiply
    6,219.64x = 9,329.43 × 5,121.68
  4. Step 4: Simplify right side
    6,219.64x = 47,782,351.27
  5. Step 5: Solve for x
    x = 47,782,351.27/6,219.64
  6. Step 6: Final answer
    x = 7,682.50

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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.