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Finding the Fourth Proportional to 7,043.91, 9,720.86 and 3,900.17

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Solution

The fourth proportional to 7,043.91, 9,720.86 and 3,900.17 is: 5,382.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,043.91 : 9,720.86 = 3,900.17 : x
  2. Step 2: Convert to fraction form
    7,043.91/9,720.86 = 3,900.17/x
  3. Step 3: Cross multiply
    7,043.91x = 9,720.86 × 3,900.17
  4. Step 4: Simplify right side
    7,043.91x = 37,912,938.44
  5. Step 5: Solve for x
    x = 37,912,938.44/7,043.91
  6. Step 6: Final answer
    x = 5,382.37

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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.