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Finding the Fourth Proportional to 6,848.82, 9,452.31 and 3,865.86

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Solution

The fourth proportional to 6,848.82, 9,452.31 and 3,865.86 is: 5,335.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.82 : 9,452.31 = 3,865.86 : x
  2. Step 2: Convert to fraction form
    6,848.82/9,452.31 = 3,865.86/x
  3. Step 3: Cross multiply
    6,848.82x = 9,452.31 × 3,865.86
  4. Step 4: Simplify right side
    6,848.82x = 36,541,307.14
  5. Step 5: Solve for x
    x = 36,541,307.14/6,848.82
  6. Step 6: Final answer
    x = 5,335.42

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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.