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Finding the Fourth Proportional to 9,813.56, 13,538.24 and 5,832.41

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Solution

The fourth proportional to 9,813.56, 13,538.24 and 5,832.41 is: 8,046.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.56 : 13,538.24 = 5,832.41 : x
  2. Step 2: Convert to fraction form
    9,813.56/13,538.24 = 5,832.41/x
  3. Step 3: Cross multiply
    9,813.56x = 13,538.24 × 5,832.41
  4. Step 4: Simplify right side
    9,813.56x = 78,960,491.38
  5. Step 5: Solve for x
    x = 78,960,491.38/9,813.56
  6. Step 6: Final answer
    x = 8,046.06

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Why These Related Problems?

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