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Finding the Fourth Proportional to 6,626.79, 9,144.82 and 3,642.55

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Solution

The fourth proportional to 6,626.79, 9,144.82 and 3,642.55 is: 5,026.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.79 : 9,144.82 = 3,642.55 : x
  2. Step 2: Convert to fraction form
    6,626.79/9,144.82 = 3,642.55/x
  3. Step 3: Cross multiply
    6,626.79x = 9,144.82 × 3,642.55
  4. Step 4: Simplify right side
    6,626.79x = 33,310,464.09
  5. Step 5: Solve for x
    x = 33,310,464.09/6,626.79
  6. Step 6: Final answer
    x = 5,026.64

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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.