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Finding the Fourth Proportional to 6,954.65, 9,597.32 and 3,767.88

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Solution

The fourth proportional to 6,954.65, 9,597.32 and 3,767.88 is: 5,199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.65 : 9,597.32 = 3,767.88 : x
  2. Step 2: Convert to fraction form
    6,954.65/9,597.32 = 3,767.88/x
  3. Step 3: Cross multiply
    6,954.65x = 9,597.32 × 3,767.88
  4. Step 4: Simplify right side
    6,954.65x = 36,161,550.08
  5. Step 5: Solve for x
    x = 36,161,550.08/6,954.65
  6. Step 6: Final answer
    x = 5,199.63

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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.