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Finding the Fourth Proportional to 9,423.92, 14,137.78 and 2,849.96

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Solution

The fourth proportional to 9,423.92, 14,137.78 and 2,849.96 is: 4,275.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.92 : 14,137.78 = 2,849.96 : x
  2. Step 2: Convert to fraction form
    9,423.92/14,137.78 = 2,849.96/x
  3. Step 3: Cross multiply
    9,423.92x = 14,137.78 × 2,849.96
  4. Step 4: Simplify right side
    9,423.92x = 40,292,107.49
  5. Step 5: Solve for x
    x = 40,292,107.49/9,423.92
  6. Step 6: Final answer
    x = 4,275.51

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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.