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Finding the Fourth Proportional to 6,419.00, 9,624.34 and 4,221.06

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Solution

The fourth proportional to 6,419.00, 9,624.34 and 4,221.06 is: 6,328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.00 : 9,624.34 = 4,221.06 : x
  2. Step 2: Convert to fraction form
    6,419.00/9,624.34 = 4,221.06/x
  3. Step 3: Cross multiply
    6,419.00x = 9,624.34 × 4,221.06
  4. Step 4: Simplify right side
    6,419.00x = 40,624,906.05
  5. Step 5: Solve for x
    x = 40,624,906.05/6,419.00
  6. Step 6: Final answer
    x = 6,328.86

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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.