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Finding the Fourth Proportional to 6,382.80, 9,575.16 and 3,261.12

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Solution

The fourth proportional to 6,382.80, 9,575.16 and 3,261.12 is: 4,892.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.80 : 9,575.16 = 3,261.12 : x
  2. Step 2: Convert to fraction form
    6,382.80/9,575.16 = 3,261.12/x
  3. Step 3: Cross multiply
    6,382.80x = 9,575.16 × 3,261.12
  4. Step 4: Simplify right side
    6,382.80x = 31,225,745.78
  5. Step 5: Solve for x
    x = 31,225,745.78/6,382.80
  6. Step 6: Final answer
    x = 4,892.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.