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Finding the Fourth Proportional to 6,299.97, 9,450.27 and 4,459.32

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Solution

The fourth proportional to 6,299.97, 9,450.27 and 4,459.32 is: 6,689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.97 : 9,450.27 = 4,459.32 : x
  2. Step 2: Convert to fraction form
    6,299.97/9,450.27 = 4,459.32/x
  3. Step 3: Cross multiply
    6,299.97x = 9,450.27 × 4,459.32
  4. Step 4: Simplify right side
    6,299.97x = 42,141,778.02
  5. Step 5: Solve for x
    x = 42,141,778.02/6,299.97
  6. Step 6: Final answer
    x = 6,689.20

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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.