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Finding the Fourth Proportional to 6,414.99, 9,624.30 and 2,468.06

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Solution

The fourth proportional to 6,414.99, 9,624.30 and 2,468.06 is: 3,702.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.99 : 9,624.30 = 2,468.06 : x
  2. Step 2: Convert to fraction form
    6,414.99/9,624.30 = 2,468.06/x
  3. Step 3: Cross multiply
    6,414.99x = 9,624.30 × 2,468.06
  4. Step 4: Simplify right side
    6,414.99x = 23,753,349.86
  5. Step 5: Solve for x
    x = 23,753,349.86/6,414.99
  6. Step 6: Final answer
    x = 3,702.79

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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.