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Finding the Fourth Proportional to 6,475.84, 8,936.40 and 3,643.27

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Solution

The fourth proportional to 6,475.84, 8,936.40 and 3,643.27 is: 5,027.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.84 : 8,936.40 = 3,643.27 : x
  2. Step 2: Convert to fraction form
    6,475.84/8,936.40 = 3,643.27/x
  3. Step 3: Cross multiply
    6,475.84x = 8,936.40 × 3,643.27
  4. Step 4: Simplify right side
    6,475.84x = 32,557,718.03
  5. Step 5: Solve for x
    x = 32,557,718.03/6,475.84
  6. Step 6: Final answer
    x = 5,027.57

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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.