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Finding the Fourth Proportional to 6,871.20, 9,482.64 and 3,885.92

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Solution

The fourth proportional to 6,871.20, 9,482.64 and 3,885.92 is: 5,362.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.20 : 9,482.64 = 3,885.92 : x
  2. Step 2: Convert to fraction form
    6,871.20/9,482.64 = 3,885.92/x
  3. Step 3: Cross multiply
    6,871.20x = 9,482.64 × 3,885.92
  4. Step 4: Simplify right side
    6,871.20x = 36,848,780.43
  5. Step 5: Solve for x
    x = 36,848,780.43/6,871.20
  6. Step 6: Final answer
    x = 5,362.79

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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.