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Finding the Fourth Proportional to 6,476.84, 8,937.96 and 3,682.16

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Solution

The fourth proportional to 6,476.84, 8,937.96 and 3,682.16 is: 5,081.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.84 : 8,937.96 = 3,682.16 : x
  2. Step 2: Convert to fraction form
    6,476.84/8,937.96 = 3,682.16/x
  3. Step 3: Cross multiply
    6,476.84x = 8,937.96 × 3,682.16
  4. Step 4: Simplify right side
    6,476.84x = 32,910,998.79
  5. Step 5: Solve for x
    x = 32,910,998.79/6,476.84
  6. Step 6: Final answer
    x = 5,081.34

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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.