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Finding the Fourth Proportional to 6,141.92, 9,215.76 and 2,448.32

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Solution

The fourth proportional to 6,141.92, 9,215.76 and 2,448.32 is: 3,673.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.92 : 9,215.76 = 2,448.32 : x
  2. Step 2: Convert to fraction form
    6,141.92/9,215.76 = 2,448.32/x
  3. Step 3: Cross multiply
    6,141.92x = 9,215.76 × 2,448.32
  4. Step 4: Simplify right side
    6,141.92x = 22,563,129.52
  5. Step 5: Solve for x
    x = 22,563,129.52/6,141.92
  6. Step 6: Final answer
    x = 3,673.63

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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.