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Finding the Fourth Proportional to 9,523.70, 14,286.21 and 2,949.02

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Solution

The fourth proportional to 9,523.70, 14,286.21 and 2,949.02 is: 4,423.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.70 : 14,286.21 = 2,949.02 : x
  2. Step 2: Convert to fraction form
    9,523.70/14,286.21 = 2,949.02/x
  3. Step 3: Cross multiply
    9,523.70x = 14,286.21 × 2,949.02
  4. Step 4: Simplify right side
    9,523.70x = 42,130,319.01
  5. Step 5: Solve for x
    x = 42,130,319.01/9,523.70
  6. Step 6: Final answer
    x = 4,423.73

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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.