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Finding the Fourth Proportional to 9,679.38, 13,352.93 and 6,136.44

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Solution

The fourth proportional to 9,679.38, 13,352.93 and 6,136.44 is: 8,465.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.38 : 13,352.93 = 6,136.44 : x
  2. Step 2: Convert to fraction form
    9,679.38/13,352.93 = 6,136.44/x
  3. Step 3: Cross multiply
    9,679.38x = 13,352.93 × 6,136.44
  4. Step 4: Simplify right side
    9,679.38x = 81,939,453.77
  5. Step 5: Solve for x
    x = 81,939,453.77/9,679.38
  6. Step 6: Final answer
    x = 8,465.36

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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.