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Finding the Fourth Proportional to 9,524.56, 13,141.32 and 5,795.92

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Solution

The fourth proportional to 9,524.56, 13,141.32 and 5,795.92 is: 7,996.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.56 : 13,141.32 = 5,795.92 : x
  2. Step 2: Convert to fraction form
    9,524.56/13,141.32 = 5,795.92/x
  3. Step 3: Cross multiply
    9,524.56x = 13,141.32 × 5,795.92
  4. Step 4: Simplify right side
    9,524.56x = 76,166,039.41
  5. Step 5: Solve for x
    x = 76,166,039.41/9,524.56
  6. Step 6: Final answer
    x = 7,996.80

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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.