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Finding the Fourth Proportional to 9,511.96, 13,122.48 and 6,369.16

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Solution

The fourth proportional to 9,511.96, 13,122.48 and 6,369.16 is: 8,786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.96 : 13,122.48 = 6,369.16 : x
  2. Step 2: Convert to fraction form
    9,511.96/13,122.48 = 6,369.16/x
  3. Step 3: Cross multiply
    9,511.96x = 13,122.48 × 6,369.16
  4. Step 4: Simplify right side
    9,511.96x = 83,579,174.72
  5. Step 5: Solve for x
    x = 83,579,174.72/9,511.96
  6. Step 6: Final answer
    x = 8,786.75

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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.