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Finding the Fourth Proportional to 6,546.38, 9,821.45 and 1,929.38

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Solution

The fourth proportional to 6,546.38, 9,821.45 and 1,929.38 is: 2,894.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.38 : 9,821.45 = 1,929.38 : x
  2. Step 2: Convert to fraction form
    6,546.38/9,821.45 = 1,929.38/x
  3. Step 3: Cross multiply
    6,546.38x = 9,821.45 × 1,929.38
  4. Step 4: Simplify right side
    6,546.38x = 18,949,264.92
  5. Step 5: Solve for x
    x = 18,949,264.92/6,546.38
  6. Step 6: Final answer
    x = 2,894.62

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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.