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Finding the Fourth Proportional to 6,345.34, 8,753.77 and 3,827.55

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Solution

The fourth proportional to 6,345.34, 8,753.77 and 3,827.55 is: 5,280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.34 : 8,753.77 = 3,827.55 : x
  2. Step 2: Convert to fraction form
    6,345.34/8,753.77 = 3,827.55/x
  3. Step 3: Cross multiply
    6,345.34x = 8,753.77 × 3,827.55
  4. Step 4: Simplify right side
    6,345.34x = 33,505,529.97
  5. Step 5: Solve for x
    x = 33,505,529.97/6,345.34
  6. Step 6: Final answer
    x = 5,280.34

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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.