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Finding the Fourth Proportional to 9,884.86, 13,640.99 and 5,635.79

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Solution

The fourth proportional to 9,884.86, 13,640.99 and 5,635.79 is: 7,777.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.86 : 13,640.99 = 5,635.79 : x
  2. Step 2: Convert to fraction form
    9,884.86/13,640.99 = 5,635.79/x
  3. Step 3: Cross multiply
    9,884.86x = 13,640.99 × 5,635.79
  4. Step 4: Simplify right side
    9,884.86x = 76,877,658.65
  5. Step 5: Solve for x
    x = 76,877,658.65/9,884.86
  6. Step 6: Final answer
    x = 7,777.31

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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.