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Finding the Fourth Proportional to 9,635.72, 14,458.44 and 3,398.72

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Solution

The fourth proportional to 9,635.72, 14,458.44 and 3,398.72 is: 5,099.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.72 : 14,458.44 = 3,398.72 : x
  2. Step 2: Convert to fraction form
    9,635.72/14,458.44 = 3,398.72/x
  3. Step 3: Cross multiply
    9,635.72x = 14,458.44 × 3,398.72
  4. Step 4: Simplify right side
    9,635.72x = 49,140,189.20
  5. Step 5: Solve for x
    x = 49,140,189.20/9,635.72
  6. Step 6: Final answer
    x = 5,099.79

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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.