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Finding the Fourth Proportional to 6,286.14, 9,432.18 and 3,000.24

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Solution

The fourth proportional to 6,286.14, 9,432.18 and 3,000.24 is: 4,501.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.14 : 9,432.18 = 3,000.24 : x
  2. Step 2: Convert to fraction form
    6,286.14/9,432.18 = 3,000.24/x
  3. Step 3: Cross multiply
    6,286.14x = 9,432.18 × 3,000.24
  4. Step 4: Simplify right side
    6,286.14x = 28,298,803.72
  5. Step 5: Solve for x
    x = 28,298,803.72/6,286.14
  6. Step 6: Final answer
    x = 4,501.78

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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.