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Finding the Fourth Proportional to 9,794.03, 14,687.91 and 3,218.69

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Solution

The fourth proportional to 9,794.03, 14,687.91 and 3,218.69 is: 4,827.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.03 : 14,687.91 = 3,218.69 : x
  2. Step 2: Convert to fraction form
    9,794.03/14,687.91 = 3,218.69/x
  3. Step 3: Cross multiply
    9,794.03x = 14,687.91 × 3,218.69
  4. Step 4: Simplify right side
    9,794.03x = 47,275,755.60
  5. Step 5: Solve for x
    x = 47,275,755.60/9,794.03
  6. Step 6: Final answer
    x = 4,827.00

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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.