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Finding the Fourth Proportional to 6,742.14, 9,304.47 and 3,948.54

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Solution

The fourth proportional to 6,742.14, 9,304.47 and 3,948.54 is: 5,449.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.14 : 9,304.47 = 3,948.54 : x
  2. Step 2: Convert to fraction form
    6,742.14/9,304.47 = 3,948.54/x
  3. Step 3: Cross multiply
    6,742.14x = 9,304.47 × 3,948.54
  4. Step 4: Simplify right side
    6,742.14x = 36,739,071.97
  5. Step 5: Solve for x
    x = 36,739,071.97/6,742.14
  6. Step 6: Final answer
    x = 5,449.17

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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.