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Finding the Fourth Proportional to 6,954.43, 9,597.04 and 3,767.65

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Solution

The fourth proportional to 6,954.43, 9,597.04 and 3,767.65 is: 5,199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.43 : 9,597.04 = 3,767.65 : x
  2. Step 2: Convert to fraction form
    6,954.43/9,597.04 = 3,767.65/x
  3. Step 3: Cross multiply
    6,954.43x = 9,597.04 × 3,767.65
  4. Step 4: Simplify right side
    6,954.43x = 36,158,273.18
  5. Step 5: Solve for x
    x = 36,158,273.18/6,954.43
  6. Step 6: Final answer
    x = 5,199.32

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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.