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Finding the Fourth Proportional to 9,834.72, 14,752.72 and 3,261

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Solution

The fourth proportional to 9,834.72, 14,752.72 and 3,261 is: 4,891.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.72 : 14,752.72 = 3,261 : x
  2. Step 2: Convert to fraction form
    9,834.72/14,752.72 = 3,261/x
  3. Step 3: Cross multiply
    9,834.72x = 14,752.72 × 3,261
  4. Step 4: Simplify right side
    9,834.72x = 48,108,619.92
  5. Step 5: Solve for x
    x = 48,108,619.92/9,834.72
  6. Step 6: Final answer
    x = 4,891.71

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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.