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Finding the Fourth Proportional to 6,381.80, 9,552.22 and 3,412.82

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Solution

The fourth proportional to 6,381.80, 9,552.22 and 3,412.82 is: 5,108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.80 : 9,552.22 = 3,412.82 : x
  2. Step 2: Convert to fraction form
    6,381.80/9,552.22 = 3,412.82/x
  3. Step 3: Cross multiply
    6,381.80x = 9,552.22 × 3,412.82
  4. Step 4: Simplify right side
    6,381.80x = 32,600,007.46
  5. Step 5: Solve for x
    x = 32,600,007.46/6,381.80
  6. Step 6: Final answer
    x = 5,108.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.