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Finding the Fourth Proportional to 6,871, 9,480.90 and 3,885.88

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Solution

The fourth proportional to 6,871, 9,480.90 and 3,885.88 is: 5,361.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871 : 9,480.90 = 3,885.88 : x
  2. Step 2: Convert to fraction form
    6,871/9,480.90 = 3,885.88/x
  3. Step 3: Cross multiply
    6,871x = 9,480.90 × 3,885.88
  4. Step 4: Simplify right side
    6,871x = 36,841,639.69
  5. Step 5: Solve for x
    x = 36,841,639.69/6,871
  6. Step 6: Final answer
    x = 5,361.90

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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.