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Finding the Fourth Proportional to 6,626.95, 9,145.37 and 3,642.82

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Solution

The fourth proportional to 6,626.95, 9,145.37 and 3,642.82 is: 5,027.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.95 : 9,145.37 = 3,642.82 : x
  2. Step 2: Convert to fraction form
    6,626.95/9,145.37 = 3,642.82/x
  3. Step 3: Cross multiply
    6,626.95x = 9,145.37 × 3,642.82
  4. Step 4: Simplify right side
    6,626.95x = 33,314,936.74
  5. Step 5: Solve for x
    x = 33,314,936.74/6,626.95
  6. Step 6: Final answer
    x = 5,027.19

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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.