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Finding the Fourth Proportional to 9,713, 14,568.24 and 3,138.52

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Solution

The fourth proportional to 9,713, 14,568.24 and 3,138.52 is: 4,707.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713 : 14,568.24 = 3,138.52 : x
  2. Step 2: Convert to fraction form
    9,713/14,568.24 = 3,138.52/x
  3. Step 3: Cross multiply
    9,713x = 14,568.24 × 3,138.52
  4. Step 4: Simplify right side
    9,713x = 45,722,712.60
  5. Step 5: Solve for x
    x = 45,722,712.60/9,713
  6. Step 6: Final answer
    x = 4,707.37

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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.