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Finding the Fourth Proportional to 6,328.06, 8,732.84 and 3,675.64

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Solution

The fourth proportional to 6,328.06, 8,732.84 and 3,675.64 is: 5,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.06 : 8,732.84 = 3,675.64 : x
  2. Step 2: Convert to fraction form
    6,328.06/8,732.84 = 3,675.64/x
  3. Step 3: Cross multiply
    6,328.06x = 8,732.84 × 3,675.64
  4. Step 4: Simplify right side
    6,328.06x = 32,098,713.98
  5. Step 5: Solve for x
    x = 32,098,713.98/6,328.06
  6. Step 6: Final answer
    x = 5,072.45

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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.