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Finding the Fourth Proportional to 6,181.71, 9,275.22 and 4,102.44

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Solution

The fourth proportional to 6,181.71, 9,275.22 and 4,102.44 is: 6,155.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.71 : 9,275.22 = 4,102.44 : x
  2. Step 2: Convert to fraction form
    6,181.71/9,275.22 = 4,102.44/x
  3. Step 3: Cross multiply
    6,181.71x = 9,275.22 × 4,102.44
  4. Step 4: Simplify right side
    6,181.71x = 38,051,033.54
  5. Step 5: Solve for x
    x = 38,051,033.54/6,181.71
  6. Step 6: Final answer
    x = 6,155.42

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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.