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Finding the Fourth Proportional to 6,863.64, 9,473.61 and 4,346.97

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Solution

The fourth proportional to 6,863.64, 9,473.61 and 4,346.97 is: 5,999.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.64 : 9,473.61 = 4,346.97 : x
  2. Step 2: Convert to fraction form
    6,863.64/9,473.61 = 4,346.97/x
  3. Step 3: Cross multiply
    6,863.64x = 9,473.61 × 4,346.97
  4. Step 4: Simplify right side
    6,863.64x = 41,181,454.79
  5. Step 5: Solve for x
    x = 41,181,454.79/6,863.64
  6. Step 6: Final answer
    x = 5,999.95

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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.