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Finding the Fourth Proportional to 9,343.56, 14,014.92 and 3,499.68

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Solution

The fourth proportional to 9,343.56, 14,014.92 and 3,499.68 is: 5,249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.56 : 14,014.92 = 3,499.68 : x
  2. Step 2: Convert to fraction form
    9,343.56/14,014.92 = 3,499.68/x
  3. Step 3: Cross multiply
    9,343.56x = 14,014.92 × 3,499.68
  4. Step 4: Simplify right side
    9,343.56x = 49,047,735.23
  5. Step 5: Solve for x
    x = 49,047,735.23/9,343.56
  6. Step 6: Final answer
    x = 5,249.36

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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.