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Finding the Fourth Proportional to 6,568.20, 9,062.91 and 3,734.46

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Solution

The fourth proportional to 6,568.20, 9,062.91 and 3,734.46 is: 5,152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.20 : 9,062.91 = 3,734.46 : x
  2. Step 2: Convert to fraction form
    6,568.20/9,062.91 = 3,734.46/x
  3. Step 3: Cross multiply
    6,568.20x = 9,062.91 × 3,734.46
  4. Step 4: Simplify right side
    6,568.20x = 33,845,074.88
  5. Step 5: Solve for x
    x = 33,845,074.88/6,568.20
  6. Step 6: Final answer
    x = 5,152.87

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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.