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Finding the Fourth Proportional to 6,342.14, 8,755.60 and 3,824.70

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Solution

The fourth proportional to 6,342.14, 8,755.60 and 3,824.70 is: 5,280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.14 : 8,755.60 = 3,824.70 : x
  2. Step 2: Convert to fraction form
    6,342.14/8,755.60 = 3,824.70/x
  3. Step 3: Cross multiply
    6,342.14x = 8,755.60 × 3,824.70
  4. Step 4: Simplify right side
    6,342.14x = 33,487,543.32
  5. Step 5: Solve for x
    x = 33,487,543.32/6,342.14
  6. Step 6: Final answer
    x = 5,280.16

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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.