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Finding the Fourth Proportional to 6,721.77, 9,276.69 and 3,737.73

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Solution

The fourth proportional to 6,721.77, 9,276.69 and 3,737.73 is: 5,158.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,721.77 : 9,276.69 = 3,737.73 : x
  2. Step 2: Convert to fraction form
    6,721.77/9,276.69 = 3,737.73/x
  3. Step 3: Cross multiply
    6,721.77x = 9,276.69 × 3,737.73
  4. Step 4: Simplify right side
    6,721.77x = 34,673,762.51
  5. Step 5: Solve for x
    x = 34,673,762.51/6,721.77
  6. Step 6: Final answer
    x = 5,158.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.