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Finding the Fourth Proportional to 9,447.94, 14,177.14 and 3,899.99

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Solution

The fourth proportional to 9,447.94, 14,177.14 and 3,899.99 is: 5,852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.94 : 14,177.14 = 3,899.99 : x
  2. Step 2: Convert to fraction form
    9,447.94/14,177.14 = 3,899.99/x
  3. Step 3: Cross multiply
    9,447.94x = 14,177.14 × 3,899.99
  4. Step 4: Simplify right side
    9,447.94x = 55,290,694.48
  5. Step 5: Solve for x
    x = 55,290,694.48/9,447.94
  6. Step 6: Final answer
    x = 5,852.14

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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.