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Finding the Fourth Proportional to 6,141.92, 9,214.24 and 2,246.32

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Solution

The fourth proportional to 6,141.92, 9,214.24 and 2,246.32 is: 3,369.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.92 : 9,214.24 = 2,246.32 : x
  2. Step 2: Convert to fraction form
    6,141.92/9,214.24 = 2,246.32/x
  3. Step 3: Cross multiply
    6,141.92x = 9,214.24 × 2,246.32
  4. Step 4: Simplify right side
    6,141.92x = 20,698,131.60
  5. Step 5: Solve for x
    x = 20,698,131.60/6,141.92
  6. Step 6: Final answer
    x = 3,369.98

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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.