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Finding the Fourth Proportional to 9,786.56, 13,504.32 and 5,537.30

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Solution

The fourth proportional to 9,786.56, 13,504.32 and 5,537.30 is: 7,640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.56 : 13,504.32 = 5,537.30 : x
  2. Step 2: Convert to fraction form
    9,786.56/13,504.32 = 5,537.30/x
  3. Step 3: Cross multiply
    9,786.56x = 13,504.32 × 5,537.30
  4. Step 4: Simplify right side
    9,786.56x = 74,777,403.61
  5. Step 5: Solve for x
    x = 74,777,403.61/9,786.56
  6. Step 6: Final answer
    x = 7,640.83

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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.