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Finding the Fourth Proportional to 6,411.92, 9,616.32 and 3,290.28

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Solution

The fourth proportional to 6,411.92, 9,616.32 and 3,290.28 is: 4,934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.92 : 9,616.32 = 3,290.28 : x
  2. Step 2: Convert to fraction form
    6,411.92/9,616.32 = 3,290.28/x
  3. Step 3: Cross multiply
    6,411.92x = 9,616.32 × 3,290.28
  4. Step 4: Simplify right side
    6,411.92x = 31,640,385.37
  5. Step 5: Solve for x
    x = 31,640,385.37/6,411.92
  6. Step 6: Final answer
    x = 4,934.62

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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.