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Finding the Fourth Proportional to 9,202.80, 13,808.30 and 4,819.23

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Solution

The fourth proportional to 9,202.80, 13,808.30 and 4,819.23 is: 7,230.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.80 : 13,808.30 = 4,819.23 : x
  2. Step 2: Convert to fraction form
    9,202.80/13,808.30 = 4,819.23/x
  3. Step 3: Cross multiply
    9,202.80x = 13,808.30 × 4,819.23
  4. Step 4: Simplify right side
    9,202.80x = 66,545,373.61
  5. Step 5: Solve for x
    x = 66,545,373.61/9,202.80
  6. Step 6: Final answer
    x = 7,230.99

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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.