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Finding the Fourth Proportional to 6,382.18, 9,573.46 and 1,765.18

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Solution

The fourth proportional to 6,382.18, 9,573.46 and 1,765.18 is: 2,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.18 : 9,573.46 = 1,765.18 : x
  2. Step 2: Convert to fraction form
    6,382.18/9,573.46 = 1,765.18/x
  3. Step 3: Cross multiply
    6,382.18x = 9,573.46 × 1,765.18
  4. Step 4: Simplify right side
    6,382.18x = 16,898,880.12
  5. Step 5: Solve for x
    x = 16,898,880.12/6,382.18
  6. Step 6: Final answer
    x = 2,647.82

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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.