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Finding the Fourth Proportional to 9,423.70, 14,137.02 and 2,849.20

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Solution

The fourth proportional to 9,423.70, 14,137.02 and 2,849.20 is: 4,274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.70 : 14,137.02 = 2,849.20 : x
  2. Step 2: Convert to fraction form
    9,423.70/14,137.02 = 2,849.20/x
  3. Step 3: Cross multiply
    9,423.70x = 14,137.02 × 2,849.20
  4. Step 4: Simplify right side
    9,423.70x = 40,279,197.38
  5. Step 5: Solve for x
    x = 40,279,197.38/9,423.70
  6. Step 6: Final answer
    x = 4,274.24

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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.