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Finding the Fourth Proportional to 9,243.87, 13,855.88 and 3,315.06

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Solution

The fourth proportional to 9,243.87, 13,855.88 and 3,315.06 is: 4,969.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.87 : 13,855.88 = 3,315.06 : x
  2. Step 2: Convert to fraction form
    9,243.87/13,855.88 = 3,315.06/x
  3. Step 3: Cross multiply
    9,243.87x = 13,855.88 × 3,315.06
  4. Step 4: Simplify right side
    9,243.87x = 45,933,073.55
  5. Step 5: Solve for x
    x = 45,933,073.55/9,243.87
  6. Step 6: Final answer
    x = 4,969.03

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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.