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Finding the Fourth Proportional to 9,855.38, 13,600.33 and 5,379.16

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Solution

The fourth proportional to 9,855.38, 13,600.33 and 5,379.16 is: 7,423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.38 : 13,600.33 = 5,379.16 : x
  2. Step 2: Convert to fraction form
    9,855.38/13,600.33 = 5,379.16/x
  3. Step 3: Cross multiply
    9,855.38x = 13,600.33 × 5,379.16
  4. Step 4: Simplify right side
    9,855.38x = 73,158,351.12
  5. Step 5: Solve for x
    x = 73,158,351.12/9,855.38
  6. Step 6: Final answer
    x = 7,423.19

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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.