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Finding the Fourth Proportional to 9,143.53, 13,715.30 and 2,218.03

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Solution

The fourth proportional to 9,143.53, 13,715.30 and 2,218.03 is: 3,327.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.53 : 13,715.30 = 2,218.03 : x
  2. Step 2: Convert to fraction form
    9,143.53/13,715.30 = 2,218.03/x
  3. Step 3: Cross multiply
    9,143.53x = 13,715.30 × 2,218.03
  4. Step 4: Simplify right side
    9,143.53x = 30,420,969.55
  5. Step 5: Solve for x
    x = 30,420,969.55/9,143.53
  6. Step 6: Final answer
    x = 3,327.05

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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.