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Finding the Fourth Proportional to 6,141.68, 9,216.12 and 2,246.48

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Solution

The fourth proportional to 6,141.68, 9,216.12 and 2,246.48 is: 3,371.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.68 : 9,216.12 = 2,246.48 : x
  2. Step 2: Convert to fraction form
    6,141.68/9,216.12 = 2,246.48/x
  3. Step 3: Cross multiply
    6,141.68x = 9,216.12 × 2,246.48
  4. Step 4: Simplify right side
    6,141.68x = 20,703,829.26
  5. Step 5: Solve for x
    x = 20,703,829.26/6,141.68
  6. Step 6: Final answer
    x = 3,371.04

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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.