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Finding the Fourth Proportional to 7,169.15, 9,892.19 and 3,981.93

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Solution

The fourth proportional to 7,169.15, 9,892.19 and 3,981.93 is: 5,494.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.15 : 9,892.19 = 3,981.93 : x
  2. Step 2: Convert to fraction form
    7,169.15/9,892.19 = 3,981.93/x
  3. Step 3: Cross multiply
    7,169.15x = 9,892.19 × 3,981.93
  4. Step 4: Simplify right side
    7,169.15x = 39,389,988.22
  5. Step 5: Solve for x
    x = 39,389,988.22/7,169.15
  6. Step 6: Final answer
    x = 5,494.38

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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.