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Finding the Fourth Proportional to 9,593.46, 13,239.92 and 5,614.34

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Solution

The fourth proportional to 9,593.46, 13,239.92 and 5,614.34 is: 7,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.46 : 13,239.92 = 5,614.34 : x
  2. Step 2: Convert to fraction form
    9,593.46/13,239.92 = 5,614.34/x
  3. Step 3: Cross multiply
    9,593.46x = 13,239.92 × 5,614.34
  4. Step 4: Simplify right side
    9,593.46x = 74,333,360.29
  5. Step 5: Solve for x
    x = 74,333,360.29/9,593.46
  6. Step 6: Final answer
    x = 7,748.34

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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.