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Finding the Fourth Proportional to 7,078.22, 9,767.96 and 3,934.41

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Solution

The fourth proportional to 7,078.22, 9,767.96 and 3,934.41 is: 5,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.22 : 9,767.96 = 3,934.41 : x
  2. Step 2: Convert to fraction form
    7,078.22/9,767.96 = 3,934.41/x
  3. Step 3: Cross multiply
    7,078.22x = 9,767.96 × 3,934.41
  4. Step 4: Simplify right side
    7,078.22x = 38,431,139.83
  5. Step 5: Solve for x
    x = 38,431,139.83/7,078.22
  6. Step 6: Final answer
    x = 5,429.50

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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.