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Finding the Fourth Proportional to 27,285.92, 40,929.28 and 9,756

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Solution

The fourth proportional to 27,285.92, 40,929.28 and 9,756 is: 14,634.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,285.92 : 40,929.28 = 9,756 : x
  2. Step 2: Convert to fraction form
    27,285.92/40,929.28 = 9,756/x
  3. Step 3: Cross multiply
    27,285.92x = 40,929.28 × 9,756
  4. Step 4: Simplify right side
    27,285.92x = 399,306,055.68
  5. Step 5: Solve for x
    x = 399,306,055.68/27,285.92
  6. Step 6: Final answer
    x = 14,634.14

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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.