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Finding the Fourth Proportional to 9,825.65, 14,727.94 and 4,884.65

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Solution

The fourth proportional to 9,825.65, 14,727.94 and 4,884.65 is: 7,321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.65 : 14,727.94 = 4,884.65 : x
  2. Step 2: Convert to fraction form
    9,825.65/14,727.94 = 4,884.65/x
  3. Step 3: Cross multiply
    9,825.65x = 14,727.94 × 4,884.65
  4. Step 4: Simplify right side
    9,825.65x = 71,940,746.27
  5. Step 5: Solve for x
    x = 71,940,746.27/9,825.65
  6. Step 6: Final answer
    x = 7,321.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.