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Finding the Fourth Proportional to 6,491.82, 9,737.73 and 4,300.04

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Solution

The fourth proportional to 6,491.82, 9,737.73 and 4,300.04 is: 6,450.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.82 : 9,737.73 = 4,300.04 : x
  2. Step 2: Convert to fraction form
    6,491.82/9,737.73 = 4,300.04/x
  3. Step 3: Cross multiply
    6,491.82x = 9,737.73 × 4,300.04
  4. Step 4: Simplify right side
    6,491.82x = 41,872,604.13
  5. Step 5: Solve for x
    x = 41,872,604.13/6,491.82
  6. Step 6: Final answer
    x = 6,450.06

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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.