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Finding the Fourth Proportional to 6,227.37, 9,283.34 and 5,760.81

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Solution

The fourth proportional to 6,227.37, 9,283.34 and 5,760.81 is: 8,587.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.37 : 9,283.34 = 5,760.81 : x
  2. Step 2: Convert to fraction form
    6,227.37/9,283.34 = 5,760.81/x
  3. Step 3: Cross multiply
    6,227.37x = 9,283.34 × 5,760.81
  4. Step 4: Simplify right side
    6,227.37x = 53,479,572.31
  5. Step 5: Solve for x
    x = 53,479,572.31/6,227.37
  6. Step 6: Final answer
    x = 8,587.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.