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Finding the Fourth Proportional to 6,422.00, 9,636.05 and 4,450.66

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Solution

The fourth proportional to 6,422.00, 9,636.05 and 4,450.66 is: 6,678.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.00 : 9,636.05 = 4,450.66 : x
  2. Step 2: Convert to fraction form
    6,422.00/9,636.05 = 4,450.66/x
  3. Step 3: Cross multiply
    6,422.00x = 9,636.05 × 4,450.66
  4. Step 4: Simplify right side
    6,422.00x = 42,886,760.04
  5. Step 5: Solve for x
    x = 42,886,760.04/6,422.00
  6. Step 6: Final answer
    x = 6,678.11

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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.