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Finding the Fourth Proportional to 6,322.37, 8,719.92 and 4,084.47

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Solution

The fourth proportional to 6,322.37, 8,719.92 and 4,084.47 is: 5,633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.37 : 8,719.92 = 4,084.47 : x
  2. Step 2: Convert to fraction form
    6,322.37/8,719.92 = 4,084.47/x
  3. Step 3: Cross multiply
    6,322.37x = 8,719.92 × 4,084.47
  4. Step 4: Simplify right side
    6,322.37x = 35,616,251.64
  5. Step 5: Solve for x
    x = 35,616,251.64/6,322.37
  6. Step 6: Final answer
    x = 5,633.37

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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.