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Finding the Fourth Proportional to 6,343.14, 8,756.98 and 3,825.70

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Solution

The fourth proportional to 6,343.14, 8,756.98 and 3,825.70 is: 5,281.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.14 : 8,756.98 = 3,825.70 : x
  2. Step 2: Convert to fraction form
    6,343.14/8,756.98 = 3,825.70/x
  3. Step 3: Cross multiply
    6,343.14x = 8,756.98 × 3,825.70
  4. Step 4: Simplify right side
    6,343.14x = 33,501,578.39
  5. Step 5: Solve for x
    x = 33,501,578.39/6,343.14
  6. Step 6: Final answer
    x = 5,281.54

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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.