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Finding the Fourth Proportional to 6,475.85, 8,936.66 and 3,643.22

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Solution

The fourth proportional to 6,475.85, 8,936.66 and 3,643.22 is: 5,027.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.85 : 8,936.66 = 3,643.22 : x
  2. Step 2: Convert to fraction form
    6,475.85/8,936.66 = 3,643.22/x
  3. Step 3: Cross multiply
    6,475.85x = 8,936.66 × 3,643.22
  4. Step 4: Simplify right side
    6,475.85x = 32,558,222.57
  5. Step 5: Solve for x
    x = 32,558,222.57/6,475.85
  6. Step 6: Final answer
    x = 5,027.64

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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.