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Finding the Fourth Proportional to 7,050.37, 9,729.49 and 4,066.20

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Solution

The fourth proportional to 7,050.37, 9,729.49 and 4,066.20 is: 5,611.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.37 : 9,729.49 = 4,066.20 : x
  2. Step 2: Convert to fraction form
    7,050.37/9,729.49 = 4,066.20/x
  3. Step 3: Cross multiply
    7,050.37x = 9,729.49 × 4,066.20
  4. Step 4: Simplify right side
    7,050.37x = 39,562,052.24
  5. Step 5: Solve for x
    x = 39,562,052.24/7,050.37
  6. Step 6: Final answer
    x = 5,611.34

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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.