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Finding the Fourth Proportional to 6,949.22, 9,591.41 and 4,430.75

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Solution

The fourth proportional to 6,949.22, 9,591.41 and 4,430.75 is: 6,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.22 : 9,591.41 = 4,430.75 : x
  2. Step 2: Convert to fraction form
    6,949.22/9,591.41 = 4,430.75/x
  3. Step 3: Cross multiply
    6,949.22x = 9,591.41 × 4,430.75
  4. Step 4: Simplify right side
    6,949.22x = 42,497,139.86
  5. Step 5: Solve for x
    x = 42,497,139.86/6,949.22
  6. Step 6: Final answer
    x = 6,115.38

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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.