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Finding the Fourth Proportional to 6,346.42, 9,519.67 and 1,729.46

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Solution

The fourth proportional to 6,346.42, 9,519.67 and 1,729.46 is: 2,594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.42 : 9,519.67 = 1,729.46 : x
  2. Step 2: Convert to fraction form
    6,346.42/9,519.67 = 1,729.46/x
  3. Step 3: Cross multiply
    6,346.42x = 9,519.67 × 1,729.46
  4. Step 4: Simplify right side
    6,346.42x = 16,463,888.48
  5. Step 5: Solve for x
    x = 16,463,888.48/6,346.42
  6. Step 6: Final answer
    x = 2,594.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.