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Finding the Fourth Proportional to 6,741.06, 9,299.97 and 4,382.34

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Solution

The fourth proportional to 6,741.06, 9,299.97 and 4,382.34 is: 6,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.06 : 9,299.97 = 4,382.34 : x
  2. Step 2: Convert to fraction form
    6,741.06/9,299.97 = 4,382.34/x
  3. Step 3: Cross multiply
    6,741.06x = 9,299.97 × 4,382.34
  4. Step 4: Simplify right side
    6,741.06x = 40,755,630.53
  5. Step 5: Solve for x
    x = 40,755,630.53/6,741.06
  6. Step 6: Final answer
    x = 6,045.88

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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.