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Finding the Fourth Proportional to 6,626.94, 9,145.23 and 3,642.69

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Solution

The fourth proportional to 6,626.94, 9,145.23 and 3,642.69 is: 5,026.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.94 : 9,145.23 = 3,642.69 : x
  2. Step 2: Convert to fraction form
    6,626.94/9,145.23 = 3,642.69/x
  3. Step 3: Cross multiply
    6,626.94x = 9,145.23 × 3,642.69
  4. Step 4: Simplify right side
    6,626.94x = 33,313,237.87
  5. Step 5: Solve for x
    x = 33,313,237.87/6,626.94
  6. Step 6: Final answer
    x = 5,026.94

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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.