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Finding the Fourth Proportional to 6,626.94, 9,145.26 and 3,642.66

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Solution

The fourth proportional to 6,626.94, 9,145.26 and 3,642.66 is: 5,026.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.94 : 9,145.26 = 3,642.66 : x
  2. Step 2: Convert to fraction form
    6,626.94/9,145.26 = 3,642.66/x
  3. Step 3: Cross multiply
    6,626.94x = 9,145.26 × 3,642.66
  4. Step 4: Simplify right side
    6,626.94x = 33,313,072.79
  5. Step 5: Solve for x
    x = 33,313,072.79/6,626.94
  6. Step 6: Final answer
    x = 5,026.92

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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.