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Finding the Fourth Proportional to 7,168.65, 9,892.69 and 3,981.84

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Solution

The fourth proportional to 7,168.65, 9,892.69 and 3,981.84 is: 5,494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.65 : 9,892.69 = 3,981.84 : x
  2. Step 2: Convert to fraction form
    7,168.65/9,892.69 = 3,981.84/x
  3. Step 3: Cross multiply
    7,168.65x = 9,892.69 × 3,981.84
  4. Step 4: Simplify right side
    7,168.65x = 39,391,108.75
  5. Step 5: Solve for x
    x = 39,391,108.75/7,168.65
  6. Step 6: Final answer
    x = 5,494.91

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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.