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Finding the Fourth Proportional to 6,346.47, 9,520.32 and 2,185.92

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Solution

The fourth proportional to 6,346.47, 9,520.32 and 2,185.92 is: 3,279.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.47 : 9,520.32 = 2,185.92 : x
  2. Step 2: Convert to fraction form
    6,346.47/9,520.32 = 2,185.92/x
  3. Step 3: Cross multiply
    6,346.47x = 9,520.32 × 2,185.92
  4. Step 4: Simplify right side
    6,346.47x = 20,810,657.89
  5. Step 5: Solve for x
    x = 20,810,657.89/6,346.47
  6. Step 6: Final answer
    x = 3,279.09

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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.