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Finding the Fourth Proportional to 6,202.80, 9,277.20 and 5,549.40

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Solution

The fourth proportional to 6,202.80, 9,277.20 and 5,549.40 is: 8,299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.80 : 9,277.20 = 5,549.40 : x
  2. Step 2: Convert to fraction form
    6,202.80/9,277.20 = 5,549.40/x
  3. Step 3: Cross multiply
    6,202.80x = 9,277.20 × 5,549.40
  4. Step 4: Simplify right side
    6,202.80x = 51,482,893.68
  5. Step 5: Solve for x
    x = 51,482,893.68/6,202.80
  6. Step 6: Final answer
    x = 8,299.94

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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.