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Finding the Fourth Proportional to 7,157.92, 9,883.26 and 6,173.78

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Solution

The fourth proportional to 7,157.92, 9,883.26 and 6,173.78 is: 8,524.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.92 : 9,883.26 = 6,173.78 : x
  2. Step 2: Convert to fraction form
    7,157.92/9,883.26 = 6,173.78/x
  3. Step 3: Cross multiply
    7,157.92x = 9,883.26 × 6,173.78
  4. Step 4: Simplify right side
    7,157.92x = 61,017,072.92
  5. Step 5: Solve for x
    x = 61,017,072.92/7,157.92
  6. Step 6: Final answer
    x = 8,524.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.