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Finding the Fourth Proportional to 9,858.80, 14,771.49 and 5,955

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Solution

The fourth proportional to 9,858.80, 14,771.49 and 5,955 is: 8,922.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.80 : 14,771.49 = 5,955 : x
  2. Step 2: Convert to fraction form
    9,858.80/14,771.49 = 5,955/x
  3. Step 3: Cross multiply
    9,858.80x = 14,771.49 × 5,955
  4. Step 4: Simplify right side
    9,858.80x = 87,964,222.95
  5. Step 5: Solve for x
    x = 87,964,222.95/9,858.80
  6. Step 6: Final answer
    x = 8,922.41

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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.