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Finding the Fourth Proportional to 9,521.85, 13,136.97 and 5,542.12

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Solution

The fourth proportional to 9,521.85, 13,136.97 and 5,542.12 is: 7,646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,521.85 : 13,136.97 = 5,542.12 : x
  2. Step 2: Convert to fraction form
    9,521.85/13,136.97 = 5,542.12/x
  3. Step 3: Cross multiply
    9,521.85x = 13,136.97 × 5,542.12
  4. Step 4: Simplify right side
    9,521.85x = 72,806,631.33
  5. Step 5: Solve for x
    x = 72,806,631.33/9,521.85
  6. Step 6: Final answer
    x = 7,646.27

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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.