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Finding the Fourth Proportional to 9,902.25, 14,852.97 and 5,739.26

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Solution

The fourth proportional to 9,902.25, 14,852.97 and 5,739.26 is: 8,608.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.25 : 14,852.97 = 5,739.26 : x
  2. Step 2: Convert to fraction form
    9,902.25/14,852.97 = 5,739.26/x
  3. Step 3: Cross multiply
    9,902.25x = 14,852.97 × 5,739.26
  4. Step 4: Simplify right side
    9,902.25x = 85,244,982.34
  5. Step 5: Solve for x
    x = 85,244,982.34/9,902.25
  6. Step 6: Final answer
    x = 8,608.65

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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.