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Finding the Fourth Proportional to 6,384.60, 9,575.31 and 2,686.86

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Solution

The fourth proportional to 6,384.60, 9,575.31 and 2,686.86 is: 4,029.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.60 : 9,575.31 = 2,686.86 : x
  2. Step 2: Convert to fraction form
    6,384.60/9,575.31 = 2,686.86/x
  3. Step 3: Cross multiply
    6,384.60x = 9,575.31 × 2,686.86
  4. Step 4: Simplify right side
    6,384.60x = 25,727,517.43
  5. Step 5: Solve for x
    x = 25,727,517.43/6,384.60
  6. Step 6: Final answer
    x = 4,029.62

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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.