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Finding the Fourth Proportional to 6,346.12, 9,518.70 and 1,729.48

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Solution

The fourth proportional to 6,346.12, 9,518.70 and 1,729.48 is: 2,594.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.12 : 9,518.70 = 1,729.48 : x
  2. Step 2: Convert to fraction form
    6,346.12/9,518.70 = 1,729.48/x
  3. Step 3: Cross multiply
    6,346.12x = 9,518.70 × 1,729.48
  4. Step 4: Simplify right side
    6,346.12x = 16,462,401.28
  5. Step 5: Solve for x
    x = 16,462,401.28/6,346.12
  6. Step 6: Final answer
    x = 2,594.09

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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.