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Finding the Fourth Proportional to 6,202.88, 9,306.20 and 1,986

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Solution

The fourth proportional to 6,202.88, 9,306.20 and 1,986 is: 2,979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.88 : 9,306.20 = 1,986 : x
  2. Step 2: Convert to fraction form
    6,202.88/9,306.20 = 1,986/x
  3. Step 3: Cross multiply
    6,202.88x = 9,306.20 × 1,986
  4. Step 4: Simplify right side
    6,202.88x = 18,482,113.20
  5. Step 5: Solve for x
    x = 18,482,113.20/6,202.88
  6. Step 6: Final answer
    x = 2,979.60

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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.