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Finding the Fourth Proportional to 6,685.32, 9,230.22 and 4,168.45

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Solution

The fourth proportional to 6,685.32, 9,230.22 and 4,168.45 is: 5,755.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.32 : 9,230.22 = 4,168.45 : x
  2. Step 2: Convert to fraction form
    6,685.32/9,230.22 = 4,168.45/x
  3. Step 3: Cross multiply
    6,685.32x = 9,230.22 × 4,168.45
  4. Step 4: Simplify right side
    6,685.32x = 38,475,710.56
  5. Step 5: Solve for x
    x = 38,475,710.56/6,685.32
  6. Step 6: Final answer
    x = 5,755.25

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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.