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Finding the Fourth Proportional to 9,350.64, 14,024.64 and 3,806.40

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Solution

The fourth proportional to 9,350.64, 14,024.64 and 3,806.40 is: 5,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,350.64 : 14,024.64 = 3,806.40 : x
  2. Step 2: Convert to fraction form
    9,350.64/14,024.64 = 3,806.40/x
  3. Step 3: Cross multiply
    9,350.64x = 14,024.64 × 3,806.40
  4. Step 4: Simplify right side
    9,350.64x = 53,383,389.70
  5. Step 5: Solve for x
    x = 53,383,389.70/9,350.64
  6. Step 6: Final answer
    x = 5,709.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.