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Finding the Fourth Proportional to 9,306.98, 13,958.88 and 3,067.06

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Solution

The fourth proportional to 9,306.98, 13,958.88 and 3,067.06 is: 4,600.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.98 : 13,958.88 = 3,067.06 : x
  2. Step 2: Convert to fraction form
    9,306.98/13,958.88 = 3,067.06/x
  3. Step 3: Cross multiply
    9,306.98x = 13,958.88 × 3,067.06
  4. Step 4: Simplify right side
    9,306.98x = 42,812,722.49
  5. Step 5: Solve for x
    x = 42,812,722.49/9,306.98
  6. Step 6: Final answer
    x = 4,600.07

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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.