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Finding the Fourth Proportional to 9,138.71, 13,707.46 and 3,593

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Solution

The fourth proportional to 9,138.71, 13,707.46 and 3,593 is: 5,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.71 : 13,707.46 = 3,593 : x
  2. Step 2: Convert to fraction form
    9,138.71/13,707.46 = 3,593/x
  3. Step 3: Cross multiply
    9,138.71x = 13,707.46 × 3,593
  4. Step 4: Simplify right side
    9,138.71x = 49,250,903.78
  5. Step 5: Solve for x
    x = 49,250,903.78/9,138.71
  6. Step 6: Final answer
    x = 5,389.26

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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.