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Finding the Fourth Proportional to 7,064.37, 9,748.49 and 4,231.86

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Solution

The fourth proportional to 7,064.37, 9,748.49 and 4,231.86 is: 5,839.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.37 : 9,748.49 = 4,231.86 : x
  2. Step 2: Convert to fraction form
    7,064.37/9,748.49 = 4,231.86/x
  3. Step 3: Cross multiply
    7,064.37x = 9,748.49 × 4,231.86
  4. Step 4: Simplify right side
    7,064.37x = 41,254,223.73
  5. Step 5: Solve for x
    x = 41,254,223.73/7,064.37
  6. Step 6: Final answer
    x = 5,839.76

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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.