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Finding the Fourth Proportional to 6,342.76, 9,515.36 and 3,181.87

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Solution

The fourth proportional to 6,342.76, 9,515.36 and 3,181.87 is: 4,773.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.76 : 9,515.36 = 3,181.87 : x
  2. Step 2: Convert to fraction form
    6,342.76/9,515.36 = 3,181.87/x
  3. Step 3: Cross multiply
    6,342.76x = 9,515.36 × 3,181.87
  4. Step 4: Simplify right side
    6,342.76x = 30,276,638.52
  5. Step 5: Solve for x
    x = 30,276,638.52/6,342.76
  6. Step 6: Final answer
    x = 4,773.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.