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Finding the Fourth Proportional to 6,848.32, 9,449.96 and 4,016

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Solution

The fourth proportional to 6,848.32, 9,449.96 and 4,016 is: 5,541.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.32 : 9,449.96 = 4,016 : x
  2. Step 2: Convert to fraction form
    6,848.32/9,449.96 = 4,016/x
  3. Step 3: Cross multiply
    6,848.32x = 9,449.96 × 4,016
  4. Step 4: Simplify right side
    6,848.32x = 37,951,039.36
  5. Step 5: Solve for x
    x = 37,951,039.36/6,848.32
  6. Step 6: Final answer
    x = 5,541.66

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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.