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Finding the Fourth Proportional to 9,774.99, 14,661 and 3,201.03

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Solution

The fourth proportional to 9,774.99, 14,661 and 3,201.03 is: 4,801.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.99 : 14,661 = 3,201.03 : x
  2. Step 2: Convert to fraction form
    9,774.99/14,661 = 3,201.03/x
  3. Step 3: Cross multiply
    9,774.99x = 14,661 × 3,201.03
  4. Step 4: Simplify right side
    9,774.99x = 46,930,300.83
  5. Step 5: Solve for x
    x = 46,930,300.83/9,774.99
  6. Step 6: Final answer
    x = 4,801.06

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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.