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Finding the Fourth Proportional to 9,752.62, 14,626.32 and 2,732.23

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Solution

The fourth proportional to 9,752.62, 14,626.32 and 2,732.23 is: 4,097.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.62 : 14,626.32 = 2,732.23 : x
  2. Step 2: Convert to fraction form
    9,752.62/14,626.32 = 2,732.23/x
  3. Step 3: Cross multiply
    9,752.62x = 14,626.32 × 2,732.23
  4. Step 4: Simplify right side
    9,752.62x = 39,962,470.29
  5. Step 5: Solve for x
    x = 39,962,470.29/9,752.62
  6. Step 6: Final answer
    x = 4,097.61

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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.