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Finding the Fourth Proportional to 6,346.07, 9,520.12 and 2,185.05

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Solution

The fourth proportional to 6,346.07, 9,520.12 and 2,185.05 is: 3,277.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.07 : 9,520.12 = 2,185.05 : x
  2. Step 2: Convert to fraction form
    6,346.07/9,520.12 = 2,185.05/x
  3. Step 3: Cross multiply
    6,346.07x = 9,520.12 × 2,185.05
  4. Step 4: Simplify right side
    6,346.07x = 20,801,932.74
  5. Step 5: Solve for x
    x = 20,801,932.74/6,346.07
  6. Step 6: Final answer
    x = 3,277.93

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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.