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Finding the Fourth Proportional to 6,871.41, 9,482.81 and 3,887.60

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Solution

The fourth proportional to 6,871.41, 9,482.81 and 3,887.60 is: 5,365.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.41 : 9,482.81 = 3,887.60 : x
  2. Step 2: Convert to fraction form
    6,871.41/9,482.81 = 3,887.60/x
  3. Step 3: Cross multiply
    6,871.41x = 9,482.81 × 3,887.60
  4. Step 4: Simplify right side
    6,871.41x = 36,865,305.30
  5. Step 5: Solve for x
    x = 36,865,305.30/6,871.41
  6. Step 6: Final answer
    x = 5,365.03

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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.