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Finding the Fourth Proportional to 6,381.56, 9,572.34 and 2,686.38

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Solution

The fourth proportional to 6,381.56, 9,572.34 and 2,686.38 is: 4,029.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.56 : 9,572.34 = 2,686.38 : x
  2. Step 2: Convert to fraction form
    6,381.56/9,572.34 = 2,686.38/x
  3. Step 3: Cross multiply
    6,381.56x = 9,572.34 × 2,686.38
  4. Step 4: Simplify right side
    6,381.56x = 25,714,942.73
  5. Step 5: Solve for x
    x = 25,714,942.73/6,381.56
  6. Step 6: Final answer
    x = 4,029.57

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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.