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Finding the Fourth Proportional to 6,491.24, 9,737.55 and 3,201.18

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Solution

The fourth proportional to 6,491.24, 9,737.55 and 3,201.18 is: 4,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.24 : 9,737.55 = 3,201.18 : x
  2. Step 2: Convert to fraction form
    6,491.24/9,737.55 = 3,201.18/x
  3. Step 3: Cross multiply
    6,491.24x = 9,737.55 × 3,201.18
  4. Step 4: Simplify right side
    6,491.24x = 31,171,650.31
  5. Step 5: Solve for x
    x = 31,171,650.31/6,491.24
  6. Step 6: Final answer
    x = 4,802.11

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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.