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Finding the Fourth Proportional to 9,202.40, 13,806.84 and 4,819.76

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Solution

The fourth proportional to 9,202.40, 13,806.84 and 4,819.76 is: 7,231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.40 : 13,806.84 = 4,819.76 : x
  2. Step 2: Convert to fraction form
    9,202.40/13,806.84 = 4,819.76/x
  3. Step 3: Cross multiply
    9,202.40x = 13,806.84 × 4,819.76
  4. Step 4: Simplify right side
    9,202.40x = 66,545,655.16
  5. Step 5: Solve for x
    x = 66,545,655.16/9,202.40
  6. Step 6: Final answer
    x = 7,231.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.