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Finding the Fourth Proportional to 6,513.76, 9,774.74 and 3,227.04

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Solution

The fourth proportional to 6,513.76, 9,774.74 and 3,227.04 is: 4,842.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.76 : 9,774.74 = 3,227.04 : x
  2. Step 2: Convert to fraction form
    6,513.76/9,774.74 = 3,227.04/x
  3. Step 3: Cross multiply
    6,513.76x = 9,774.74 × 3,227.04
  4. Step 4: Simplify right side
    6,513.76x = 31,543,476.97
  5. Step 5: Solve for x
    x = 31,543,476.97/6,513.76
  6. Step 6: Final answer
    x = 4,842.59

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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.