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Finding the Fourth Proportional to 9,593.56, 14,388.18 and 3,746.44

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Solution

The fourth proportional to 9,593.56, 14,388.18 and 3,746.44 is: 5,618.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.56 : 14,388.18 = 3,746.44 : x
  2. Step 2: Convert to fraction form
    9,593.56/14,388.18 = 3,746.44/x
  3. Step 3: Cross multiply
    9,593.56x = 14,388.18 × 3,746.44
  4. Step 4: Simplify right side
    9,593.56x = 53,904,453.08
  5. Step 5: Solve for x
    x = 53,904,453.08/9,593.56
  6. Step 6: Final answer
    x = 5,618.82

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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.