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Finding the Fourth Proportional to 9,593.40, 13,238.73 and 5,614.68

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Solution

The fourth proportional to 9,593.40, 13,238.73 and 5,614.68 is: 7,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.40 : 13,238.73 = 5,614.68 : x
  2. Step 2: Convert to fraction form
    9,593.40/13,238.73 = 5,614.68/x
  3. Step 3: Cross multiply
    9,593.40x = 13,238.73 × 5,614.68
  4. Step 4: Simplify right side
    9,593.40x = 74,331,232.56
  5. Step 5: Solve for x
    x = 74,331,232.56/9,593.40
  6. Step 6: Final answer
    x = 7,748.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.